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Buy a Ticket
[ "data structures", "graphs", "shortest paths" ]
null
null
Musicians of a popular band "Flayer" have announced that they are going to "make their exit" with a world tour. Of course, they will visit Berland as well. There are *n* cities in Berland. People can travel between cities using two-directional train routes; there are exactly *m* routes, *i*-th route can be used to go ...
The first line contains two integers *n* and *m* (2<=≤<=*n*<=≤<=2·105, 1<=≤<=*m*<=≤<=2·105). Then *m* lines follow, *i*-th contains three integers *v**i*, *u**i* and *w**i* (1<=≤<=*v**i*,<=*u**i*<=≤<=*n*,<=*v**i*<=≠<=*u**i*, 1<=≤<=*w**i*<=≤<=1012) denoting *i*-th train route. There are no multiple train routes connect...
Print *n* integers. *i*-th of them must be equal to the minimum number of coins a person from city *i* has to spend to travel to some city *j* (or possibly stay in city *i*), attend a concert there, and return to city *i* (if *j*<=≠<=*i*).
[ "4 2\n1 2 4\n2 3 7\n6 20 1 25\n", "3 3\n1 2 1\n2 3 1\n1 3 1\n30 10 20\n" ]
[ "6 14 1 25 \n", "12 10 12 \n" ]
none
[ { "input": "4 2\n1 2 4\n2 3 7\n6 20 1 25", "output": "6 14 1 25 " }, { "input": "3 3\n1 2 1\n2 3 1\n1 3 1\n30 10 20", "output": "12 10 12 " }, { "input": "7 7\n1 6 745325\n2 3 3581176\n2 4 19\n3 6 71263060078\n5 4 141198\n7 4 163953\n5 6 15994\n1 297404206755 82096176217 14663411 1873897...
93
307,200
-1
1,989
510
Fox And Snake
[ "implementation" ]
null
null
Fox Ciel starts to learn programming. The first task is drawing a fox! However, that turns out to be too hard for a beginner, so she decides to draw a snake instead. A snake is a pattern on a *n* by *m* table. Denote *c*-th cell of *r*-th row as (*r*,<=*c*). The tail of the snake is located at (1,<=1), then it's body ...
The only line contains two integers: *n* and *m* (3<=≤<=*n*,<=*m*<=≤<=50). *n* is an odd number.
Output *n* lines. Each line should contain a string consisting of *m* characters. Do not output spaces.
[ "3 3\n", "3 4\n", "5 3\n", "9 9\n" ]
[ "###\n..#\n###\n", "####\n...#\n####\n", "###\n..#\n###\n#..\n###\n", "#########\n........#\n#########\n#........\n#########\n........#\n#########\n#........\n#########\n" ]
none
[ { "input": "3 3", "output": "###\n..#\n###" }, { "input": "3 4", "output": "####\n...#\n####" }, { "input": "5 3", "output": "###\n..#\n###\n#..\n###" }, { "input": "9 9", "output": "#########\n........#\n#########\n#........\n#########\n........#\n#########\n#........\n#...
46
0
3
1,996
538
Cutting Banner
[ "brute force", "implementation" ]
null
null
A large banner with word CODEFORCES was ordered for the 1000-th onsite round of Codeforcesω that takes place on the Miami beach. Unfortunately, the company that made the banner mixed up two orders and delivered somebody else's banner that contains someone else's word. The word on the banner consists only of upper-case ...
The single line of the input contains the word written on the banner. The word only consists of upper-case English letters. The word is non-empty and its length doesn't exceed 100 characters. It is guaranteed that the word isn't word CODEFORCES.
Print 'YES', if there exists a way to cut out the substring, and 'NO' otherwise (without the quotes).
[ "CODEWAITFORITFORCES\n", "BOTTOMCODER\n", "DECODEFORCES\n", "DOGEFORCES\n" ]
[ "YES\n", "NO\n", "YES\n", "NO\n" ]
none
[ { "input": "CODEWAITFORITFORCES", "output": "YES" }, { "input": "BOTTOMCODER", "output": "NO" }, { "input": "DECODEFORCES", "output": "YES" }, { "input": "DOGEFORCES", "output": "NO" }, { "input": "ABACABA", "output": "NO" }, { "input": "CODEFORCE", ...
140
0
0
2,002
322
Ciel and Dancing
[ "greedy" ]
null
null
Fox Ciel and her friends are in a dancing room. There are *n* boys and *m* girls here, and they never danced before. There will be some songs, during each song, there must be exactly one boy and one girl are dancing. Besides, there is a special rule: - either the boy in the dancing pair must dance for the first time ...
The first line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of boys and girls in the dancing room.
In the first line print *k* — the number of songs during which they can dance. Then in the following *k* lines, print the indexes of boys and girls dancing during songs chronologically. You can assume that the boys are indexed from 1 to *n*, and the girls are indexed from 1 to *m*.
[ "2 1\n", "2 2\n" ]
[ "2\n1 1\n2 1\n", "3\n1 1\n1 2\n2 2\n" ]
In test case 1, there are 2 boys and 1 girl. We can have 2 dances: the 1st boy and 1st girl (during the first song), the 2nd boy and 1st girl (during the second song). And in test case 2, we have 2 boys with 2 girls, the answer is 3.
[ { "input": "2 1", "output": "2\n1 1\n2 1" }, { "input": "2 2", "output": "3\n1 1\n1 2\n2 2" }, { "input": "1 1", "output": "1\n1 1" }, { "input": "2 3", "output": "4\n1 1\n1 2\n1 3\n2 3" }, { "input": "4 4", "output": "7\n1 1\n1 2\n1 3\n1 4\n4 4\n3 4\n2 4" }...
216
512,000
3
2,004
0
none
[ "none" ]
null
null
This is an interactive problem. Natasha is going to fly to Mars. Finally, Natasha sat in the rocket. She flies, flies... but gets bored. She wishes to arrive to Mars already! So she decides to find something to occupy herself. She couldn't think of anything better to do than to calculate the distance to the red planet...
The first line contains two integers $m$ and $n$ ($1 \le m \le 10^9$, $1 \le n \le 30$) — the maximum distance to Mars and the number of elements in the sequence $p$.
none
[ "5 2\n1\n-1\n-1\n1\n0\n" ]
[ "1\n2\n4\n5\n3\n" ]
In the example, hacking would look like this: 5 2 3 1 0 This means that the current distance to Mars is equal to $3$, Natasha knows that it does not exceed $5$, and the rocket answers in order: correctly, incorrectly, correctly, incorrectly ... Really: on the first query ($1$) the correct answer is $1$, the rocket...
[ { "input": "5 2 3\n1 0", "output": "3 queries, x=3" }, { "input": "1 1 1\n1", "output": "1 queries, x=1" }, { "input": "3 2 3\n1 0", "output": "4 queries, x=3" }, { "input": "6 3 5\n1 1 1", "output": "5 queries, x=5" }, { "input": "10 4 3\n0 0 1 0", "output": ...
171
102,400
3
2,007
893
Rumor
[ "dfs and similar", "graphs", "greedy" ]
null
null
Vova promised himself that he would never play computer games... But recently Firestorm — a well-known game developing company — published their newest game, World of Farcraft, and it became really popular. Of course, Vova started playing it. Now he tries to solve a quest. The task is to come to a settlement named Ove...
The first line contains two integer numbers *n* and *m* (1<=≤<=*n*<=≤<=105,<=0<=≤<=*m*<=≤<=105) — the number of characters in Overcity and the number of pairs of friends. The second line contains *n* integer numbers *c**i* (0<=≤<=*c**i*<=≤<=109) — the amount of gold *i*-th character asks to start spreading the rumor. ...
Print one number — the minimum amount of gold Vova has to spend in order to finish the quest.
[ "5 2\n2 5 3 4 8\n1 4\n4 5\n", "10 0\n1 2 3 4 5 6 7 8 9 10\n", "10 5\n1 6 2 7 3 8 4 9 5 10\n1 2\n3 4\n5 6\n7 8\n9 10\n" ]
[ "10\n", "55\n", "15\n" ]
In the first example the best decision is to bribe the first character (he will spread the rumor to fourth character, and the fourth one will spread it to fifth). Also Vova has to bribe the second and the third characters, so they know the rumor. In the second example Vova has to bribe everyone. In the third example ...
[ { "input": "5 2\n2 5 3 4 8\n1 4\n4 5", "output": "10" }, { "input": "10 0\n1 2 3 4 5 6 7 8 9 10", "output": "55" }, { "input": "10 5\n1 6 2 7 3 8 4 9 5 10\n1 2\n3 4\n5 6\n7 8\n9 10", "output": "15" }, { "input": "1 0\n0", "output": "0" }, { "input": "1 0\n10000000...
2,000
10,956,800
0
2,009
285
Find Marble
[ "implementation" ]
null
null
Petya and Vasya are playing a game. Petya's got *n* non-transparent glasses, standing in a row. The glasses' positions are indexed with integers from 1 to *n* from left to right. Note that the positions are indexed but the glasses are not. First Petya puts a marble under the glass in position *s*. Then he performs som...
The first line contains three integers: *n*,<=*s*,<=*t* (1<=≤<=*n*<=≤<=105; 1<=≤<=*s*,<=*t*<=≤<=*n*) — the number of glasses, the ball's initial and final position. The second line contains *n* space-separated integers: *p*1,<=*p*2,<=...,<=*p**n* (1<=≤<=*p**i*<=≤<=*n*) — the shuffling operation parameters. It is guaran...
If the marble can move from position *s* to position *t*, then print on a single line a non-negative integer — the minimum number of shuffling operations, needed to get the marble to position *t*. If it is impossible, print number -1.
[ "4 2 1\n2 3 4 1\n", "4 3 3\n4 1 3 2\n", "4 3 4\n1 2 3 4\n", "3 1 3\n2 1 3\n" ]
[ "3\n", "0\n", "-1\n", "-1\n" ]
none
[ { "input": "4 2 1\n2 3 4 1", "output": "3" }, { "input": "4 3 3\n4 1 3 2", "output": "0" }, { "input": "4 3 4\n1 2 3 4", "output": "-1" }, { "input": "3 1 3\n2 1 3", "output": "-1" }, { "input": "1 1 1\n1", "output": "0" }, { "input": "10 6 7\n10 7 8 1...
434
14,028,800
3
2,010
508
Anton and currency you all know
[ "greedy", "math", "strings" ]
null
null
Berland, 2016. The exchange rate of currency you all know against the burle has increased so much that to simplify the calculations, its fractional part was neglected and the exchange rate is now assumed to be an integer. Reliable sources have informed the financier Anton of some information about the exchange rate of...
The first line contains an odd positive integer *n* — the exchange rate of currency you all know for today. The length of number *n*'s representation is within range from 2 to 105, inclusive. The representation of *n* doesn't contain any leading zeroes.
If the information about tomorrow's exchange rate is inconsistent, that is, there is no integer that meets the condition, print <=-<=1. Otherwise, print the exchange rate of currency you all know against the burle for tomorrow. This should be the maximum possible number of those that are even and that are obtained fro...
[ "527\n", "4573\n", "1357997531\n" ]
[ "572\n", "3574\n", "-1\n" ]
none
[ { "input": "527", "output": "572" }, { "input": "4573", "output": "3574" }, { "input": "1357997531", "output": "-1" }, { "input": "444443", "output": "444434" }, { "input": "22227", "output": "72222" }, { "input": "24683", "output": "34682" }, ...
78
0
0
2,011
0
none
[ "none" ]
null
null
A tree is a connected undirected graph consisting of *n* vertices and *n*<=<=-<=<=1 edges. Vertices are numbered 1 through *n*. Limak is a little polar bear and Radewoosh is his evil enemy. Limak once had a tree but Radewoosh stolen it. Bear is very sad now because he doesn't remember much about the tree — he can tell...
The first line contains three integers *n*, *d* and *h* (2<=≤<=*n*<=≤<=100<=000,<=1<=≤<=*h*<=≤<=*d*<=≤<=*n*<=-<=1) — the number of vertices, diameter, and height after rooting in vertex 1, respectively.
If there is no tree matching what Limak remembers, print the only line with "-1" (without the quotes). Otherwise, describe any tree matching Limak's description. Print *n*<=-<=1 lines, each with two space-separated integers – indices of vertices connected by an edge. If there are many valid trees, print any of them. Y...
[ "5 3 2\n", "8 5 2\n", "8 4 2\n" ]
[ "1 2\n1 3\n3 4\n3 5", "-1\n", "4 8\n5 7\n2 3\n8 1\n2 1\n5 6\n1 5\n" ]
Below you can see trees printed to the output in the first sample and the third sample.
[ { "input": "5 3 2", "output": "1 2\n2 3\n1 4\n5 1" }, { "input": "8 5 2", "output": "-1" }, { "input": "8 4 2", "output": "4 8\n5 7\n2 3\n8 1\n2 1\n5 6\n1 5" }, { "input": "2 1 1", "output": "1 2" }, { "input": "10 3 3", "output": "1 2\n2 3\n3 4\n5 2\n6 2\n7 2...
61
4,608,000
0
2,016
892
Greed
[ "greedy", "implementation" ]
null
null
Jafar has *n* cans of cola. Each can is described by two integers: remaining volume of cola *a**i* and can's capacity *b**i* (*a**i* <=≤<= *b**i*). Jafar has decided to pour all remaining cola into just 2 cans, determine if he can do this or not!
The first line of the input contains one integer *n* (2<=≤<=*n*<=≤<=100<=000) — number of cola cans. The second line contains *n* space-separated integers *a*1,<=*a*2,<=...,<=*a**n* (0<=≤<=*a**i*<=≤<=109) — volume of remaining cola in cans. The third line contains *n* space-separated integers that *b*1,<=*b*2,<=...,<...
Print "YES" (without quotes) if it is possible to pour all remaining cola in 2 cans. Otherwise print "NO" (without quotes). You can print each letter in any case (upper or lower).
[ "2\n3 5\n3 6\n", "3\n6 8 9\n6 10 12\n", "5\n0 0 5 0 0\n1 1 8 10 5\n", "4\n4 1 0 3\n5 2 2 3\n" ]
[ "YES\n", "NO\n", "YES\n", "YES\n" ]
In the first sample, there are already 2 cans, so the answer is "YES".
[ { "input": "2\n3 5\n3 6", "output": "YES" }, { "input": "3\n6 8 9\n6 10 12", "output": "NO" }, { "input": "5\n0 0 5 0 0\n1 1 8 10 5", "output": "YES" }, { "input": "4\n4 1 0 3\n5 2 2 3", "output": "YES" }, { "input": "10\n9 10 24 11 1 7 8 3 28 14\n86 20 34 11 22 9...
156
11,366,400
-1
2,017
621
Wet Shark and Odd and Even
[ "implementation" ]
null
null
Today, Wet Shark is given *n* integers. Using any of these integers no more than once, Wet Shark wants to get maximum possible even (divisible by 2) sum. Please, calculate this value for Wet Shark. Note, that if Wet Shark uses no integers from the *n* integers, the sum is an even integer 0.
The first line of the input contains one integer, *n* (1<=≤<=*n*<=≤<=100<=000). The next line contains *n* space separated integers given to Wet Shark. Each of these integers is in range from 1 to 109, inclusive.
Print the maximum possible even sum that can be obtained if we use some of the given integers.
[ "3\n1 2 3\n", "5\n999999999 999999999 999999999 999999999 999999999\n" ]
[ "6", "3999999996" ]
In the first sample, we can simply take all three integers for a total sum of 6. In the second sample Wet Shark should take any four out of five integers 999 999 999.
[ { "input": "3\n1 2 3", "output": "6" }, { "input": "5\n999999999 999999999 999999999 999999999 999999999", "output": "3999999996" }, { "input": "1\n1", "output": "0" }, { "input": "15\n39 52 88 78 46 95 84 98 55 3 68 42 6 18 98", "output": "870" }, { "input": "15\...
217
8,499,200
3
2,021
472
Design Tutorial: Learn from Life
[]
null
null
One way to create a task is to learn from life. You can choose some experience in real life, formalize it and then you will get a new task. Let's think about a scene in real life: there are lots of people waiting in front of the elevator, each person wants to go to a certain floor. We can formalize it in the following...
The first line contains two integers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=2000) — the number of people and the maximal capacity of the elevator. The next line contains *n* integers: *f*1,<=*f*2,<=...,<=*f**n* (2<=≤<=*f**i*<=≤<=2000), where *f**i* denotes the target floor of the *i*-th person.
Output a single integer — the minimal time needed to achieve the goal.
[ "3 2\n2 3 4\n", "4 2\n50 100 50 100\n", "10 3\n2 2 2 2 2 2 2 2 2 2\n" ]
[ "8\n", "296\n", "8\n" ]
In first sample, an optimal solution is: 1. The elevator takes up person #1 and person #2. 1. It goes to the 2nd floor. 1. Both people go out of the elevator. 1. The elevator goes back to the 1st floor. 1. Then the elevator takes up person #3. 1. And it goes to the 2nd floor. 1. It picks up person #2. 1. Then...
[ { "input": "3 2\n2 3 4", "output": "8" }, { "input": "4 2\n50 100 50 100", "output": "296" }, { "input": "10 3\n2 2 2 2 2 2 2 2 2 2", "output": "8" }, { "input": "1 1\n2", "output": "2" }, { "input": "2 1\n2 2", "output": "4" }, { "input": "2 2\n2 2", ...
46
0
3
2,022
888
Buggy Robot
[ "greedy" ]
null
null
Ivan has a robot which is situated on an infinite grid. Initially the robot is standing in the starting cell (0,<=0). The robot can process commands. There are four types of commands it can perform: - U — move from the cell (*x*,<=*y*) to (*x*,<=*y*<=+<=1); - D — move from (*x*,<=*y*) to (*x*,<=*y*<=-<=1); - L — mo...
The first line contains one number *n* — the length of sequence of commands entered by Ivan (1<=≤<=*n*<=≤<=100). The second line contains the sequence itself — a string consisting of *n* characters. Each character can be U, D, L or R.
Print the maximum possible number of commands from the sequence the robot could perform to end up in the starting cell.
[ "4\nLDUR\n", "5\nRRRUU\n", "6\nLLRRRR\n" ]
[ "4\n", "0\n", "4\n" ]
none
[ { "input": "4\nLDUR", "output": "4" }, { "input": "5\nRRRUU", "output": "0" }, { "input": "6\nLLRRRR", "output": "4" }, { "input": "88\nLLUUULRDRRURDDLURRLRDRLLRULRUUDDLLLLRRDDURDURRLDURRLDRRRUULDDLRRRDDRRLUULLURDURUDDDDDLDR", "output": "76" }, { "input": "89\nLDL...
124
0
3
2,025
105
Item World
[ "brute force", "implementation", "sortings" ]
C. Item World
2
256
Each item in the game has a level. The higher the level is, the higher basic parameters the item has. We shall consider only the following basic parameters: attack (atk), defense (def) and resistance to different types of impact (res). Each item belongs to one class. In this problem we will only consider three of such...
The first line contains number *n* (3<=≤<=*n*<=≤<=100) — representing how many items Laharl has. Then follow *n* lines. Each line contains description of an item. The description has the following form: "*name* *class* *atk* *def* *res* *size*" — the item's name, class, basic attack, defense and resistance parameters ...
Print on the first line the name of the weapon in the optimal equipping pattern; then print the number of residents the weapon contains; then print the residents' names. Print on the second and third lines in the same form the names of the armor and defensive orb as well as the residents they contain. Use single spa...
[ "4\nsword weapon 10 2 3 2\npagstarmor armor 0 15 3 1\niceorb orb 3 2 13 2\nlongbow weapon 9 1 2 1\n5\nmike gladiator 5 longbow\nbobby sentry 6 pagstarmor\npetr gladiator 7 iceorb\nteddy physician 6 sword\nblackjack sentry 8 sword\n", "4\nsword weapon 10 2 3 2\npagstarmor armor 0 15 3 1\niceorb orb 3 2 13 2\nlongb...
[ "sword 2 petr mike \npagstarmor 1 blackjack \niceorb 2 teddy bobby \n", "longbow 1 mike \npagstarmor 1 bobby \niceorb 2 petr joe \n" ]
In the second sample we have no free space inside the items, therefore we cannot move the residents between them.
[ { "input": "4\nsword weapon 10 2 3 2\npagstarmor armor 0 15 3 1\niceorb orb 3 2 13 2\nlongbow weapon 9 1 2 1\n5\nmike gladiator 5 longbow\nbobby sentry 6 pagstarmor\npetr gladiator 7 iceorb\nteddy physician 6 sword\nblackjack sentry 8 sword", "output": "sword 2 petr mike \npagstarmor 1 blackjack \niceorb 2 ...
122
0
-1
2,028
616
Dinner with Emma
[ "games", "greedy" ]
null
null
Jack decides to invite Emma out for a dinner. Jack is a modest student, he doesn't want to go to an expensive restaurant. Emma is a girl with high taste, she prefers elite places. Munhattan consists of *n* streets and *m* avenues. There is exactly one restaurant on the intersection of each street and avenue. The stree...
The first line contains two integers *n*,<=*m* (1<=≤<=*n*,<=*m*<=≤<=100) — the number of streets and avenues in Munhattan. Each of the next *n* lines contains *m* integers *c**ij* (1<=≤<=*c**ij*<=≤<=109) — the cost of the dinner in the restaurant on the intersection of the *i*-th street and the *j*-th avenue.
Print the only integer *a* — the cost of the dinner for Jack and Emma.
[ "3 4\n4 1 3 5\n2 2 2 2\n5 4 5 1\n", "3 3\n1 2 3\n2 3 1\n3 1 2\n" ]
[ "2\n", "1\n" ]
In the first example if Emma chooses the first or the third streets Jack can choose an avenue with the cost of the dinner 1. So she chooses the second street and Jack chooses any avenue. The cost of the dinner is 2. In the second example regardless of Emma's choice Jack can choose a restaurant with the cost of the din...
[ { "input": "3 4\n4 1 3 5\n2 2 2 2\n5 4 5 1", "output": "2" }, { "input": "3 3\n1 2 3\n2 3 1\n3 1 2", "output": "1" }, { "input": "1 1\n1", "output": "1" }, { "input": "1 10\n74 35 82 39 1 84 29 41 70 12", "output": "1" }, { "input": "10 1\n44\n23\n65\n17\n48\n29\n...
108
512,000
3
2,030
235
LCM Challenge
[ "number theory" ]
null
null
Some days ago, I learned the concept of LCM (least common multiple). I've played with it for several times and I want to make a big number with it. But I also don't want to use many numbers, so I'll choose three positive integers (they don't have to be distinct) which are not greater than *n*. Can you help me to find ...
The first line contains an integer *n* (1<=≤<=*n*<=≤<=106) — the *n* mentioned in the statement.
Print a single integer — the maximum possible LCM of three not necessarily distinct positive integers that are not greater than *n*.
[ "9\n", "7\n" ]
[ "504\n", "210\n" ]
The least common multiple of some positive integers is the least positive integer which is multiple for each of them. The result may become very large, 32-bit integer won't be enough. So using 64-bit integers is recommended. For the last example, we can chose numbers 7, 6, 5 and the LCM of them is 7·6·5 = 210. It is ...
[ { "input": "9", "output": "504" }, { "input": "7", "output": "210" }, { "input": "1", "output": "1" }, { "input": "5", "output": "60" }, { "input": "6", "output": "60" }, { "input": "33", "output": "32736" }, { "input": "21", "output": ...
218
0
3
2,032
490
Queue
[ "dsu", "implementation" ]
null
null
During the lunch break all *n* Berland State University students lined up in the food court. However, it turned out that the food court, too, has a lunch break and it temporarily stopped working. Standing in a queue that isn't being served is so boring! So, each of the students wrote down the number of the student ID ...
The first line contains integer *n* (2<=≤<=*n*<=≤<=2·105) — the number of students in the queue. Then *n* lines follow, *i*-th line contains the pair of integers *a**i*,<=*b**i* (0<=≤<=*a**i*,<=*b**i*<=≤<=106), where *a**i* is the ID number of a person in front of a student and *b**i* is the ID number of a person beh...
Print a sequence of *n* integers *x*1,<=*x*2,<=...,<=*x**n* — the sequence of ID numbers of all the students in the order they go in the queue from the first student to the last one.
[ "4\n92 31\n0 7\n31 0\n7 141\n" ]
[ "92 7 31 141 \n" ]
The picture illustrates the queue for the first sample.
[ { "input": "4\n92 31\n0 7\n31 0\n7 141", "output": "92 7 31 141 " }, { "input": "2\n0 1\n2 0", "output": "2 1 " }, { "input": "3\n0 2\n1 3\n2 0", "output": "1 2 3 " }, { "input": "4\n101 0\n0 102\n102 100\n103 101", "output": "103 102 101 100 " }, { "input": "5\n0...
61
0
0
2,033
910
Minimum Sum
[ "constructive algorithms", "greedy", "math" ]
null
null
Petya has *n* positive integers *a*1,<=*a*2,<=...,<=*a**n*. His friend Vasya decided to joke and replaced all digits in Petya's numbers with a letters. He used the lowercase letters of the Latin alphabet from 'a' to 'j' and replaced all digits 0 with one letter, all digits 1 with another letter and so on. For any two...
The first line contains a single integer *n* (1<=≤<=*n*<=≤<=1<=000) — the number of Petya's numbers. Each of the following lines contains non-empty string *s**i* consisting of lowercase Latin letters from 'a' to 'j' — the Petya's numbers after Vasya's joke. The length of each string does not exceed six characters.
Determine the minimum sum of all Petya's numbers after the restoration. The restored numbers should be positive integers without leading zeros. It is guaranteed that the correct restore (without leading zeros) exists for all given tests.
[ "3\nab\nde\naj\n", "5\nabcdef\nghij\nbdef\naccbd\ng\n", "3\naa\njj\naa\n" ]
[ "47\n", "136542\n", "44\n" ]
In the first example, you need to replace the letter 'a' with the digit 1, the letter 'b' with the digit 0, the letter 'd' with the digit 2, the letter 'e' with the digit 3, and the letter 'j' with the digit 4. So after the restoration numbers will look like [10, 23, 14]. The sum of them is equal to 47, which is the mi...
[ { "input": "3\nab\nde\naj", "output": "47" }, { "input": "5\nabcdef\nghij\nbdef\naccbd\ng", "output": "136542" }, { "input": "3\naa\njj\naa", "output": "44" }, { "input": "9\na\nb\nc\nd\nf\ng\nh\ni\nj", "output": "45" }, { "input": "5\nbdgbh\nadi\naa\ngjh\ngh", ...
62
5,632,000
0
2,034
967
Mind the Gap
[ "implementation" ]
null
null
These days Arkady works as an air traffic controller at a large airport. He controls a runway which is usually used for landings only. Thus, he has a schedule of planes that are landing in the nearest future, each landing lasts $1$ minute. He was asked to insert one takeoff in the schedule. The takeoff takes $1$ minut...
The first line of input contains two integers $n$ and $s$ ($1 \le n \le 100$, $1 \le s \le 60$) — the number of landings on the schedule and the minimum allowed time (in minutes) between a landing and a takeoff. Each of next $n$ lines contains two integers $h$ and $m$ ($0 \le h \le 23$, $0 \le m \le 59$) — the time, i...
Print two integers $h$ and $m$ — the hour and the minute from the current moment of the earliest time Arkady can insert the takeoff.
[ "6 60\n0 0\n1 20\n3 21\n5 0\n19 30\n23 40\n", "16 50\n0 30\n1 20\n3 0\n4 30\n6 10\n7 50\n9 30\n11 10\n12 50\n14 30\n16 10\n17 50\n19 30\n21 10\n22 50\n23 59\n", "3 17\n0 30\n1 0\n12 0\n" ]
[ "6 1\n", "24 50\n", "0 0\n" ]
In the first example note that there is not enough time between 1:20 and 3:21, because each landing and the takeoff take one minute. In the second example there is no gaps in the schedule, so Arkady can only add takeoff after all landings. Note that it is possible that one should wait more than $24$ hours to insert th...
[ { "input": "6 60\n0 0\n1 20\n3 21\n5 0\n19 30\n23 40", "output": "6 1" }, { "input": "16 50\n0 30\n1 20\n3 0\n4 30\n6 10\n7 50\n9 30\n11 10\n12 50\n14 30\n16 10\n17 50\n19 30\n21 10\n22 50\n23 59", "output": "24 50" }, { "input": "3 17\n0 30\n1 0\n12 0", "output": "0 0" }, { ...
61
0
0
2,042
618
Hamiltonian Spanning Tree
[ "dfs and similar", "dp", "graph matchings", "greedy", "trees" ]
null
null
A group of *n* cities is connected by a network of roads. There is an undirected road between every pair of cities, so there are roads in total. It takes exactly *y* seconds to traverse any single road. A spanning tree is a set of roads containing exactly *n*<=-<=1 roads such that it's possible to travel between any ...
The first line of the input contains three integers *n*, *x* and *y* (2<=≤<=*n*<=≤<=200<=000,<=1<=≤<=*x*,<=*y*<=≤<=109). Each of the next *n*<=-<=1 lines contains a description of a road in the spanning tree. The *i*-th of these lines contains two integers *u**i* and *v**i* (1<=≤<=*u**i*,<=*v**i*<=≤<=*n*) — indices of...
Print a single integer — the minimum number of seconds one needs to spend in order to visit all the cities exactly once.
[ "5 2 3\n1 2\n1 3\n3 4\n5 3\n", "5 3 2\n1 2\n1 3\n3 4\n5 3\n" ]
[ "9\n", "8\n" ]
In the first sample, roads of the spanning tree have cost 2, while other roads have cost 3. One example of an optimal path is <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/3a11f64ac0349d4ecd3a2b4c3443aeb7ac3b28b9.png" style="max-width: 100.0%;max-height: 100.0%;"/>. In the second sample,...
[ { "input": "5 2 3\n1 2\n1 3\n3 4\n5 3", "output": "9" }, { "input": "5 3 2\n1 2\n1 3\n3 4\n5 3", "output": "8" }, { "input": "50 23129 410924\n18 28\n17 23\n21 15\n18 50\n50 11\n32 3\n44 41\n50 31\n50 34\n5 14\n36 13\n22 40\n20 9\n9 43\n19 47\n48 40\n20 22\n33 45\n35 22\n33 24\n9 6\n13 1...
1,123
20,992,000
0
2,043
478
Table Decorations
[ "greedy" ]
null
null
You have *r* red, *g* green and *b* blue balloons. To decorate a single table for the banquet you need exactly three balloons. Three balloons attached to some table shouldn't have the same color. What maximum number *t* of tables can be decorated if we know number of balloons of each color? Your task is to write a pro...
The single line contains three integers *r*, *g* and *b* (0<=≤<=*r*,<=*g*,<=*b*<=≤<=2·109) — the number of red, green and blue baloons respectively. The numbers are separated by exactly one space.
Print a single integer *t* — the maximum number of tables that can be decorated in the required manner.
[ "5 4 3\n", "1 1 1\n", "2 3 3\n" ]
[ "4\n", "1\n", "2\n" ]
In the first sample you can decorate the tables with the following balloon sets: "rgg", "gbb", "brr", "rrg", where "r", "g" and "b" represent the red, green and blue balls, respectively.
[ { "input": "5 4 3", "output": "4" }, { "input": "1 1 1", "output": "1" }, { "input": "2 3 3", "output": "2" }, { "input": "0 1 0", "output": "0" }, { "input": "0 3 3", "output": "2" }, { "input": "4 0 4", "output": "2" }, { "input": "100000...
61
0
0
2,044
744
Hongcow Builds A Nation
[ "dfs and similar", "graphs" ]
null
null
Hongcow is ruler of the world. As ruler of the world, he wants to make it easier for people to travel by road within their own countries. The world can be modeled as an undirected graph with *n* nodes and *m* edges. *k* of the nodes are home to the governments of the *k* countries that make up the world. There is at ...
The first line of input will contain three integers *n*, *m* and *k* (1<=≤<=*n*<=≤<=1<=000, 0<=≤<=*m*<=≤<=100<=000, 1<=≤<=*k*<=≤<=*n*) — the number of vertices and edges in the graph, and the number of vertices that are homes of the government. The next line of input will contain *k* integers *c*1,<=*c*2,<=...,<=*c**...
Output a single integer, the maximum number of edges Hongcow can add to the graph while keeping it stable.
[ "4 1 2\n1 3\n1 2\n", "3 3 1\n2\n1 2\n1 3\n2 3\n" ]
[ "2\n", "0\n" ]
For the first sample test, the graph looks like this: For the second sample test, the graph looks like this:
[ { "input": "4 1 2\n1 3\n1 2", "output": "2" }, { "input": "3 3 1\n2\n1 2\n1 3\n2 3", "output": "0" }, { "input": "10 3 2\n1 10\n1 2\n1 3\n4 5", "output": "33" }, { "input": "1 0 1\n1", "output": "0" }, { "input": "1000 0 1\n72", "output": "499500" }, { ...
61
0
0
2,045
687
NP-Hard Problem
[ "dfs and similar", "graphs" ]
null
null
Recently, Pari and Arya did some research about NP-Hard problems and they found the minimum vertex cover problem very interesting. Suppose the graph *G* is given. Subset *A* of its vertices is called a vertex cover of this graph, if for each edge *uv* there is at least one endpoint of it in this set, i.e. or (or bot...
The first line of the input contains two integers *n* and *m* (2<=≤<=*n*<=≤<=100<=000, 1<=≤<=*m*<=≤<=100<=000) — the number of vertices and the number of edges in the prize graph, respectively. Each of the next *m* lines contains a pair of integers *u**i* and *v**i* (1<=<=≤<=<=*u**i*,<=<=*v**i*<=<=≤<=<=*n*), denoting ...
If it's impossible to split the graph between Pari and Arya as they expect, print "-1" (without quotes). If there are two disjoint sets of vertices, such that both sets are vertex cover, print their descriptions. Each description must contain two lines. The first line contains a single integer *k* denoting the number ...
[ "4 2\n1 2\n2 3\n", "3 3\n1 2\n2 3\n1 3\n" ]
[ "1\n2 \n2\n1 3 \n", "-1\n" ]
In the first sample, you can give the vertex number 2 to Arya and vertices numbered 1 and 3 to Pari and keep vertex number 4 for yourself (or give it someone, if you wish). In the second sample, there is no way to satisfy both Pari and Arya.
[ { "input": "4 2\n1 2\n2 3", "output": "1\n2 \n2\n1 3 " }, { "input": "3 3\n1 2\n2 3\n1 3", "output": "-1" }, { "input": "5 7\n3 2\n5 4\n3 4\n1 3\n1 5\n1 4\n2 5", "output": "-1" }, { "input": "10 11\n4 10\n8 10\n2 3\n2 4\n7 1\n8 5\n2 8\n7 2\n1 2\n2 9\n6 8", "output": "-1" ...
764
13,209,600
3
2,050
554
Kyoya and Photobooks
[ "brute force", "math", "strings" ]
null
null
Kyoya Ootori is selling photobooks of the Ouran High School Host Club. He has 26 photos, labeled "a" to "z", and he has compiled them into a photo booklet with some photos in some order (possibly with some photos being duplicated). A photo booklet can be described as a string of lowercase letters, consisting of the pho...
The first line of input will be a single string *s* (1<=≤<=|*s*|<=≤<=20). String *s* consists only of lowercase English letters.
Output a single integer equal to the number of distinct photobooks Kyoya Ootori can make.
[ "a\n", "hi\n" ]
[ "51\n", "76\n" ]
In the first case, we can make 'ab','ac',...,'az','ba','ca',...,'za', and 'aa', producing a total of 51 distinct photo booklets.
[ { "input": "a", "output": "51" }, { "input": "hi", "output": "76" }, { "input": "y", "output": "51" }, { "input": "kgan", "output": "126" }, { "input": "zoabkyuvus", "output": "276" }, { "input": "spyemhyznjieyhhbk", "output": "451" }, { "i...
62
0
3
2,055
505
Mr. Kitayuta, the Treasure Hunter
[ "dfs and similar", "dp", "two pointers" ]
null
null
The Shuseki Islands are an archipelago of 30001 small islands in the Yutampo Sea. The islands are evenly spaced along a line, numbered from 0 to 30000 from the west to the east. These islands are known to contain many treasures. There are *n* gems in the Shuseki Islands in total, and the *i*-th gem is located on island...
The first line of the input contains two space-separated integers *n* and *d* (1<=≤<=*n*,<=*d*<=≤<=30000), denoting the number of the gems in the Shuseki Islands and the length of the Mr. Kitayuta's first jump, respectively. The next *n* lines describe the location of the gems. The *i*-th of them (1<=≤<=*i*<=≤<=*n*) c...
Print the maximum number of gems that Mr. Kitayuta can collect.
[ "4 10\n10\n21\n27\n27\n", "8 8\n9\n19\n28\n36\n45\n55\n66\n78\n", "13 7\n8\n8\n9\n16\n17\n17\n18\n21\n23\n24\n24\n26\n30\n" ]
[ "3\n", "6\n", "4\n" ]
In the first sample, the optimal route is 0  →  10 (+1 gem)  →  19  →  27 (+2 gems)  → ... In the second sample, the optimal route is 0  →  8  →  15  →  21 →  28 (+1 gem)  →  36 (+1 gem)  →  45 (+1 gem)  →  55 (+1 gem)  →  66 (+1 gem)  →  78 (+1 gem)  → ... In the third sample, the optimal route is 0  →  7  →  13  → ...
[ { "input": "4 10\n10\n21\n27\n27", "output": "3" }, { "input": "8 8\n9\n19\n28\n36\n45\n55\n66\n78", "output": "6" }, { "input": "13 7\n8\n8\n9\n16\n17\n17\n18\n21\n23\n24\n24\n26\n30", "output": "4" }, { "input": "8 4\n9\n15\n15\n16\n22\n25\n25\n28", "output": "8" }, ...
389
62,976,000
0
2,061
534
Polycarpus' Dice
[ "math" ]
null
null
Polycarp has *n* dice *d*1,<=*d*2,<=...,<=*d**n*. The *i*-th dice shows numbers from 1 to *d**i*. Polycarp rolled all the dice and the sum of numbers they showed is *A*. Agrippina didn't see which dice showed what number, she knows only the sum *A* and the values *d*1,<=*d*2,<=...,<=*d**n*. However, she finds it enough...
The first line contains two integers *n*,<=*A* (1<=≤<=*n*<=≤<=2·105,<=*n*<=≤<=*A*<=≤<=*s*) — the number of dice and the sum of shown values where *s*<==<=*d*1<=+<=*d*2<=+<=...<=+<=*d**n*. The second line contains *n* integers *d*1,<=*d*2,<=...,<=*d**n* (1<=≤<=*d**i*<=≤<=106), where *d**i* is the maximum value that the...
Print *n* integers *b*1,<=*b*2,<=...,<=*b**n*, where *b**i* is the number of values for which it is guaranteed that the *i*-th dice couldn't show them.
[ "2 8\n4 4\n", "1 3\n5\n", "2 3\n2 3\n" ]
[ "3 3 ", "4 ", "0 1 " ]
In the first sample from the statement *A* equal to 8 could be obtained in the only case when both the first and the second dice show 4. Correspondingly, both dice couldn't show values 1, 2 or 3. In the second sample from the statement *A* equal to 3 could be obtained when the single dice shows 3. Correspondingly, it ...
[ { "input": "2 8\n4 4", "output": "3 3 " }, { "input": "1 3\n5", "output": "4 " }, { "input": "2 3\n2 3", "output": "0 1 " }, { "input": "1 1\n3", "output": "2 " }, { "input": "1 2\n3", "output": "2 " }, { "input": "2 2\n2 3", "output": "1 2 " }, ...
77
102,400
0
2,065
982
Row
[ "brute force", "constructive algorithms" ]
null
null
You're given a row with $n$ chairs. We call a seating of people "maximal" if the two following conditions hold: 1. There are no neighbors adjacent to anyone seated. 1. It's impossible to seat one more person without violating the first rule. The seating is given as a string consisting of zeros and ones ($0$ means t...
The first line contains a single integer $n$ ($1 \leq n \leq 1000$) — the number of chairs. The next line contains a string of $n$ characters, each of them is either zero or one, describing the seating.
Output "Yes" (without quotation marks) if the seating is "maximal". Otherwise print "No". You are allowed to print letters in whatever case you'd like (uppercase or lowercase).
[ "3\n101\n", "4\n1011\n", "5\n10001\n" ]
[ "Yes\n", "No\n", "No\n" ]
In sample case one the given seating is maximal. In sample case two the person at chair three has a neighbour to the right. In sample case three it is possible to seat yet another person into chair three.
[ { "input": "3\n101", "output": "Yes" }, { "input": "4\n1011", "output": "No" }, { "input": "5\n10001", "output": "No" }, { "input": "1\n0", "output": "No" }, { "input": "1\n1", "output": "Yes" }, { "input": "100\n010100101010100101001001010100101010010...
77
0
0
2,066
448
Suffix Structures
[ "implementation", "strings" ]
null
null
Bizon the Champion isn't just a bison. He also is a favorite of the "Bizons" team. At a competition the "Bizons" got the following problem: "You are given two distinct words (strings of English letters), *s* and *t*. You need to transform word *s* into word *t*". The task looked simple to the guys because they know th...
The first line contains a non-empty word *s*. The second line contains a non-empty word *t*. Words *s* and *t* are different. Each word consists only of lowercase English letters. Each word contains at most 100 letters.
In the single line print the answer to the problem. Print "need tree" (without the quotes) if word *s* cannot be transformed into word *t* even with use of both suffix array and suffix automaton. Print "automaton" (without the quotes) if you need only the suffix automaton to solve the problem. Print "array" (without th...
[ "automaton\ntomat\n", "array\narary\n", "both\nhot\n", "need\ntree\n" ]
[ "automaton\n", "array\n", "both\n", "need tree\n" ]
In the third sample you can act like that: first transform "both" into "oth" by removing the first character using the suffix automaton and then make two swaps of the string using the suffix array and get "hot".
[ { "input": "automaton\ntomat", "output": "automaton" }, { "input": "array\narary", "output": "array" }, { "input": "both\nhot", "output": "both" }, { "input": "need\ntree", "output": "need tree" }, { "input": "abacaba\naaaa", "output": "automaton" }, { ...
77
0
3
2,069
930
Peculiar apple-tree
[ "dfs and similar", "graphs", "trees" ]
null
null
In Arcady's garden there grows a peculiar apple-tree that fruits one time per year. Its peculiarity can be explained in following way: there are *n* inflorescences, numbered from 1 to *n*. Inflorescence number 1 is situated near base of tree and any other inflorescence with number *i* (*i*<=&gt;<=1) is situated at the ...
First line of input contains single integer number *n* (2<=≤<=*n*<=≤<=100<=000)  — number of inflorescences. Second line of input contains sequence of *n*<=-<=1 integer numbers *p*2,<=*p*3,<=...,<=*p**n* (1<=≤<=*p**i*<=&lt;<=*i*), where *p**i* is number of inflorescence into which the apple from *i*-th inflorescence r...
Single line of output should contain one integer number: amount of apples that Arcady will be able to collect from first inflorescence during one harvest.
[ "3\n1 1\n", "5\n1 2 2 2\n", "18\n1 1 1 4 4 3 2 2 2 10 8 9 9 9 10 10 4\n" ]
[ "1\n", "3\n", "4\n" ]
In first example Arcady will be able to collect only one apple, initially situated in 1st inflorescence. In next second apples from 2nd and 3rd inflorescences will roll down and annihilate, and Arcady won't be able to collect them. In the second example Arcady will be able to collect 3 apples. First one is one initial...
[ { "input": "3\n1 1", "output": "1" }, { "input": "5\n1 2 2 2", "output": "3" }, { "input": "18\n1 1 1 4 4 3 2 2 2 10 8 9 9 9 10 10 4", "output": "4" }, { "input": "2\n1", "output": "2" }, { "input": "3\n1 2", "output": "3" }, { "input": "20\n1 1 1 1 1 ...
140
25,292,800
3
2,071
558
Amr and The Large Array
[ "implementation" ]
null
null
Amr has got a large array of size *n*. Amr doesn't like large arrays so he intends to make it smaller. Amr doesn't care about anything in the array except the beauty of it. The beauty of the array is defined to be the maximum number of times that some number occurs in this array. He wants to choose the smallest subseg...
The first line contains one number *n* (1<=≤<=*n*<=≤<=105), the size of the array. The second line contains *n* integers *a**i* (1<=≤<=*a**i*<=≤<=106), representing elements of the array.
Output two integers *l*,<=*r* (1<=≤<=*l*<=≤<=*r*<=≤<=*n*), the beginning and the end of the subsegment chosen respectively. If there are several possible answers you may output any of them.
[ "5\n1 1 2 2 1\n", "5\n1 2 2 3 1\n", "6\n1 2 2 1 1 2\n" ]
[ "1 5", "2 3", "1 5" ]
A subsegment *B* of an array *A* from *l* to *r* is an array of size *r* - *l* + 1 where *B*<sub class="lower-index">*i*</sub> = *A*<sub class="lower-index">*l* + *i* - 1</sub> for all 1 ≤ *i* ≤ *r* - *l* + 1
[ { "input": "5\n1 1 2 2 1", "output": "1 5" }, { "input": "5\n1 2 2 3 1", "output": "2 3" }, { "input": "6\n1 2 2 1 1 2", "output": "1 5" }, { "input": "10\n1 1000000 2 1000000 3 2 1000000 1 2 1", "output": "2 7" }, { "input": "10\n1 2 3 4 5 5 1 2 3 4", "output...
295
16,384,000
3
2,073
411
Kicker
[ "implementation" ]
null
null
Kicker (table football) is a board game based on football, in which players control the footballers' figures mounted on rods by using bars to get the ball into the opponent's goal. When playing two on two, one player of each team controls the goalkeeper and the full-backs (plays defence), the other player controls the ...
The input contain the players' description in four lines. The *i*-th line contains two space-separated integers *a**i* and *b**i* (1<=≤<=*a**i*,<=*b**i*<=≤<=100) — the defence and the attack skill of the *i*-th player, correspondingly.
If the first team can win, print phrase "Team 1" (without the quotes), if the second team can win, print phrase "Team 2" (without the quotes). If no of the teams can definitely win, print "Draw" (without the quotes).
[ "1 100\n100 1\n99 99\n99 99\n", "1 1\n2 2\n3 3\n2 2\n", "3 3\n2 2\n1 1\n2 2\n" ]
[ "Team 1\n", "Team 2\n", "Draw\n" ]
Let consider the first test sample. The first team can definitely win if it will choose the following arrangement: the first player plays attack, the second player plays defence. Consider the second sample. The order of the choosing roles for players makes sense in this sample. As the members of the first team choose ...
[ { "input": "1 100\n100 1\n99 99\n99 99", "output": "Team 1" }, { "input": "1 1\n2 2\n3 3\n2 2", "output": "Team 2" }, { "input": "3 3\n2 2\n1 1\n2 2", "output": "Draw" }, { "input": "80 79\n79 30\n80 81\n40 80", "output": "Team 2" }, { "input": "10 10\n4 9\n8 9\n7...
140
0
3
2,080
319
Kalila and Dimna in the Logging Industry
[ "dp", "geometry" ]
null
null
Kalila and Dimna are two jackals living in a huge jungle. One day they decided to join a logging factory in order to make money. The manager of logging factory wants them to go to the jungle and cut *n* trees with heights *a*1,<=*a*2,<=...,<=*a**n*. They bought a chain saw from a shop. Each time they use the chain sa...
The first line of input contains an integer *n* (1<=≤<=*n*<=≤<=105). The second line of input contains *n* integers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109). The third line of input contains *n* integers *b*1,<=*b*2,<=...,<=*b**n* (0<=≤<=*b**i*<=≤<=109). It's guaranteed that *a*1<==<=1, *b**n*<==<=0, *a*1<=&l...
The only line of output must contain the minimum cost of cutting all the trees completely. Please, do not write the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.
[ "5\n1 2 3 4 5\n5 4 3 2 0\n", "6\n1 2 3 10 20 30\n6 5 4 3 2 0\n" ]
[ "25\n", "138\n" ]
none
[ { "input": "5\n1 2 3 4 5\n5 4 3 2 0", "output": "25" }, { "input": "6\n1 2 3 10 20 30\n6 5 4 3 2 0", "output": "138" } ]
156
2,048,000
-1
2,087
688
Opponents
[ "implementation" ]
null
null
Arya has *n* opponents in the school. Each day he will fight with all opponents who are present this day. His opponents have some fighting plan that guarantees they will win, but implementing this plan requires presence of them all. That means if one day at least one of Arya's opponents is absent at the school, then Ar...
The first line of the input contains two integers *n* and *d* (1<=≤<=*n*,<=*d*<=≤<=100) — the number of opponents and the number of days, respectively. The *i*-th of the following *d* lines contains a string of length *n* consisting of characters '0' and '1'. The *j*-th character of this string is '0' if the *j*-th op...
Print the only integer — the maximum number of consecutive days that Arya will beat all present opponents.
[ "2 2\n10\n00\n", "4 1\n0100\n", "4 5\n1101\n1111\n0110\n1011\n1111\n" ]
[ "2\n", "1\n", "2\n" ]
In the first and the second samples, Arya will beat all present opponents each of the *d* days. In the third sample, Arya will beat his opponents on days 1, 3 and 4 and his opponents will beat him on days 2 and 5. Thus, the maximum number of consecutive winning days is 2, which happens on days 3 and 4.
[ { "input": "2 2\n10\n00", "output": "2" }, { "input": "4 1\n0100", "output": "1" }, { "input": "4 5\n1101\n1111\n0110\n1011\n1111", "output": "2" }, { "input": "3 2\n110\n110", "output": "2" }, { "input": "10 6\n1111111111\n0100110101\n1111111111\n0000011010\n1111...
109
0
3
2,093
1,004
Sonya and Robots
[ "constructive algorithms", "implementation" ]
null
null
Since Sonya is interested in robotics too, she decided to construct robots that will read and recognize numbers. Sonya has drawn $n$ numbers in a row, $a_i$ is located in the $i$-th position. She also has put a robot at each end of the row (to the left of the first number and to the right of the last number). Sonya wi...
The first line contains a single integer $n$ ($1\leq n\leq 10^5$) — the number of numbers in a row. The second line contains $n$ integers $a_1, a_2, \ldots, a_n$ ($1\leq a_i\leq 10^5$) — the numbers in a row.
Print one number — the number of possible pairs that Sonya can give to robots so that they will not meet.
[ "5\n1 5 4 1 3\n", "7\n1 2 1 1 1 3 2\n" ]
[ "9\n", "7\n" ]
In the first example, Sonya can give pairs ($1$, $1$), ($1$, $3$), ($1$, $4$), ($1$, $5$), ($4$, $1$), ($4$, $3$), ($5$, $1$), ($5$, $3$), and ($5$, $4$). In the second example, Sonya can give pairs ($1$, $1$), ($1$, $2$), ($1$, $3$), ($2$, $1$), ($2$, $2$), ($2$, $3$), and ($3$, $2$).
[ { "input": "5\n1 5 4 1 3", "output": "9" }, { "input": "7\n1 2 1 1 1 3 2", "output": "7" }, { "input": "10\n2 2 4 4 3 1 1 2 3 2", "output": "14" }, { "input": "15\n1 2 2 1 2 4 2 1 1 6 6 4 2 5 4", "output": "20" }, { "input": "1\n1", "output": "0" } ]
233
12,595,200
3
2,099
965
Battleship
[ "implementation" ]
null
null
Arkady is playing Battleship. The rules of this game aren't really important. There is a field of $n \times n$ cells. There should be exactly one $k$-decker on the field, i. e. a ship that is $k$ cells long oriented either horizontally or vertically. However, Arkady doesn't know where it is located. For each cell Arka...
The first line contains two integers $n$ and $k$ ($1 \le k \le n \le 100$) — the size of the field and the size of the ship. The next $n$ lines contain the field. Each line contains $n$ characters, each of which is either '#' (denotes a definitely empty cell) or '.' (denotes a cell that can belong to the ship).
Output two integers — the row and the column of a cell that belongs to the maximum possible number of different locations of the ship. If there are multiple answers, output any of them. In particular, if no ship can be placed on the field, you can output any cell.
[ "4 3\n#..#\n#.#.\n....\n.###\n", "10 4\n#....##...\n.#...#....\n..#..#..#.\n...#.#....\n.#..##.#..\n.....#...#\n...#.##...\n.#...#.#..\n.....#..#.\n...#.#...#\n", "19 6\n##..............###\n#......#####.....##\n.....#########.....\n....###########....\n...#############...\n..###############..\n.###############...
[ "3 2\n", "6 1\n", "1 8\n" ]
The picture below shows the three possible locations of the ship that contain the cell $(3, 2)$ in the first sample.
[ { "input": "4 3\n#..#\n#.#.\n....\n.###", "output": "3 2" }, { "input": "10 4\n#....##...\n.#...#....\n..#..#..#.\n...#.#....\n.#..##.#..\n.....#...#\n...#.##...\n.#...#.#..\n.....#..#.\n...#.#...#", "output": "6 1" }, { "input": "19 6\n##..............###\n#......#####.....##\n.....####...
233
24,576,000
3
2,106
152
Steps
[ "binary search", "implementation" ]
null
null
One day Vasya went out for a walk in the yard but there weren't any of his friends outside and he had no one to play touch and run. But the boy didn't lose the high spirits and decided to play touch and run with himself. You may ask: "How did he do that?" The answer is simple. Vasya noticed that the yard is a rectangu...
The first input line contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=109) — the yard's sizes. The second line contains integers *x**c* and *y**c* — the initial square's coordinates (1<=≤<=*x**c*<=≤<=*n*,<=1<=≤<=*y**c*<=≤<=*m*). The third line contains an integer *k* (1<=≤<=*k*<=≤<=104) — the number of vectors. ...
Print the single number — the number of steps Vasya had made. Please do not use the %lld specificator to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specificator.
[ "4 5\n1 1\n3\n1 1\n1 1\n0 -2\n", "10 10\n1 2\n1\n-1 0\n" ]
[ "4\n", "0\n" ]
In the first sample Vasya is initially positioned at square (1, 1) and makes 3 steps by the first vector (1, 1). So, he consecutively visits the squares (2, 2), (3, 3), (4, 4). Then he makes 0 steps by the second vector (1, 1). He makes 1 more step by the third vector (0,  - 2) and he ends up in square (4, 2). Overall,...
[ { "input": "4 5\n1 1\n3\n1 1\n1 1\n0 -2", "output": "4" }, { "input": "10 10\n1 2\n1\n-1 0", "output": "0" }, { "input": "10 20\n10 3\n10\n-2 -6\n-1 0\n-8 0\n0 5\n-1 3\n16 -16\n-1 9\n0 -18\n9 -1\n-9 5", "output": "13" }, { "input": "20 10\n14 4\n10\n6 0\n-7 -7\n12 -2\n-4 9\n2...
60
0
0
2,107
952
Quirky Quantifiers
[ "math" ]
null
null
The input contains a single integer *a* (10<=≤<=*a*<=≤<=999). Output 0 or 1.
The input contains a single integer *a* (10<=≤<=*a*<=≤<=999).
Output 0 or 1.
[ "13\n", "927\n", "48\n" ]
[ "1\n", "1\n", "0\n" ]
none
[ { "input": "13", "output": "1" }, { "input": "927", "output": "1" }, { "input": "48", "output": "0" }, { "input": "10", "output": "0" }, { "input": "999", "output": "1" }, { "input": "142", "output": "0" }, { "input": "309", "output": "...
77
0
0
2,108
525
Pasha and String
[ "constructive algorithms", "greedy", "math", "strings" ]
null
null
Pasha got a very beautiful string *s* for his birthday, the string consists of lowercase Latin letters. The letters in the string are numbered from 1 to |*s*| from left to right, where |*s*| is the length of the given string. Pasha didn't like his present very much so he decided to change it. After his birthday Pasha ...
The first line of the input contains Pasha's string *s* of length from 2 to 2·105 characters, consisting of lowercase Latin letters. The second line contains a single integer *m* (1<=≤<=*m*<=≤<=105) —  the number of days when Pasha changed his string. The third line contains *m* space-separated elements *a**i* (1<=≤<...
In the first line of the output print what Pasha's string *s* will look like after *m* days.
[ "abcdef\n1\n2\n", "vwxyz\n2\n2 2\n", "abcdef\n3\n1 2 3\n" ]
[ "aedcbf\n", "vwxyz\n", "fbdcea\n" ]
none
[ { "input": "abcdef\n1\n2", "output": "aedcbf" }, { "input": "vwxyz\n2\n2 2", "output": "vwxyz" }, { "input": "abcdef\n3\n1 2 3", "output": "fbdcea" }, { "input": "jc\n5\n1 1 1 1 1", "output": "cj" }, { "input": "wljqgdlxyc\n13\n3 4 3 3 5 4 4 2 4 4 5 3 3", "out...
233
16,384,000
3
2,109
852
Bathroom terminal
[ "implementation" ]
null
null
Smith wakes up at the side of a dirty, disused bathroom, his ankle chained to pipes. Next to him is tape-player with a hand-written message "Play Me". He finds a tape in his own back pocket. After putting the tape in the tape-player, he sees a key hanging from a ceiling, chained to some kind of a machine, which is conn...
The first line of input contains two integers *N* and *M* (1<=≤<=*N*<=≤<= 100 000, 1<=≤<=*M*<=≤<= 5000), representing the number of words and patterns respectively. The next *N* lines represent each word, and after those *N* lines, following *M* lines represent each pattern. Each word and each pattern has a maximum le...
Output contains *M* lines and each line consists of one integer, representing the number of words that match the corresponding pattern.
[ "3 1\nabc\naec\nac\na?c\n" ]
[ "3\n" ]
If we switch '?' with 'b', 'e' and with empty character, we get 'abc', 'aec' and 'ac' respectively.
[ { "input": "3 1\nabc\naec\nac\na?c", "output": "3" }, { "input": "22 2\naaaab\naaabb\naabab\naabbb\nabaab\nababb\nabbab\nabbbb\naaab\naabb\nabab\nabbb\naab\nabb\nab\ncccd\nccdd\ncdcd\ncddd\nccd\ncdd\ncd\na???b\nc??d", "output": "15\n7" }, { "input": "15 6\naaa\naaabbb\naaabb\naaaaa\naaaa...
46
0
0
2,112
313
Ilya and Queries
[ "dp", "implementation" ]
null
null
Ilya the Lion wants to help all his friends with passing exams. They need to solve the following problem to pass the IT exam. You've got string *s*<==<=*s*1*s*2... *s**n* (*n* is the length of the string), consisting only of characters "." and "#" and *m* queries. Each query is described by a pair of integers *l**i*,<...
The first line contains string *s* of length *n* (2<=≤<=*n*<=≤<=105). It is guaranteed that the given string only consists of characters "." and "#". The next line contains integer *m* (1<=≤<=*m*<=≤<=105) — the number of queries. Each of the next *m* lines contains the description of the corresponding query. The *i*-t...
Print *m* integers — the answers to the queries in the order in which they are given in the input.
[ "......\n4\n3 4\n2 3\n1 6\n2 6\n", "#..###\n5\n1 3\n5 6\n1 5\n3 6\n3 4\n" ]
[ "1\n1\n5\n4\n", "1\n1\n2\n2\n0\n" ]
none
[ { "input": "......\n4\n3 4\n2 3\n1 6\n2 6", "output": "1\n1\n5\n4" }, { "input": "#..###\n5\n1 3\n5 6\n1 5\n3 6\n3 4", "output": "1\n1\n2\n2\n0" }, { "input": ".#...#..\n6\n1 5\n2 3\n6 7\n2 4\n2 5\n1 3", "output": "2\n0\n0\n1\n2\n0" }, { "input": "#.#.#..\n5\n3 4\n4 5\n5 7\n5...
2,000
1,740,800
0
2,113
447
DZY Loves Hash
[ "implementation" ]
null
null
DZY has a hash table with *p* buckets, numbered from 0 to *p*<=-<=1. He wants to insert *n* numbers, in the order they are given, into the hash table. For the *i*-th number *x**i*, DZY will put it into the bucket numbered *h*(*x**i*), where *h*(*x*) is the hash function. In this problem we will assume, that *h*(*x*)<==...
The first line contains two integers, *p* and *n* (2<=≤<=*p*,<=*n*<=≤<=300). Then *n* lines follow. The *i*-th of them contains an integer *x**i* (0<=≤<=*x**i*<=≤<=109).
Output a single integer — the answer to the problem.
[ "10 5\n0\n21\n53\n41\n53\n", "5 5\n0\n1\n2\n3\n4\n" ]
[ "4\n", "-1\n" ]
none
[ { "input": "10 5\n0\n21\n53\n41\n53", "output": "4" }, { "input": "5 5\n0\n1\n2\n3\n4", "output": "-1" }, { "input": "10 6\n811966798\n734823552\n790326404\n929189974\n414343256\n560346537", "output": "4" }, { "input": "2 2\n788371161\n801743052", "output": "-1" }, { ...
124
0
3
2,130
812
Sagheer and Crossroads
[ "implementation" ]
null
null
Sagheer is walking in the street when he comes to an intersection of two roads. Each road can be represented as two parts where each part has 3 lanes getting into the intersection (one for each direction) and 3 lanes getting out of the intersection, so we have 4 parts in total. Each part has 4 lights, one for each lane...
The input consists of four lines with each line describing a road part given in a counter-clockwise order. Each line contains four integers *l*, *s*, *r*, *p* — for the left, straight, right and pedestrian lights, respectively. The possible values are 0 for red light and 1 for green light.
On a single line, print "YES" if an accident is possible, and "NO" otherwise.
[ "1 0 0 1\n0 1 0 0\n0 0 1 0\n0 0 0 1\n", "0 1 1 0\n1 0 1 0\n1 1 0 0\n0 0 0 1\n", "1 0 0 0\n0 0 0 1\n0 0 0 0\n1 0 1 0\n" ]
[ "YES\n", "NO\n", "NO\n" ]
In the first example, some accidents are possible because cars of part 1 can hit pedestrians of parts 1 and 4. Also, cars of parts 2 and 3 can hit pedestrians of part 4. In the second example, no car can pass the pedestrian crossing of part 4 which is the only green pedestrian light. So, no accident can occur.
[ { "input": "1 0 0 1\n0 1 0 0\n0 0 1 0\n0 0 0 1", "output": "YES" }, { "input": "0 1 1 0\n1 0 1 0\n1 1 0 0\n0 0 0 1", "output": "NO" }, { "input": "1 0 0 0\n0 0 0 1\n0 0 0 0\n1 0 1 0", "output": "NO" }, { "input": "0 0 0 0\n0 0 0 1\n0 0 0 1\n0 0 0 1", "output": "NO" }, ...
62
0
0
2,131
803
Maximal GCD
[ "constructive algorithms", "greedy", "math" ]
null
null
You are given positive integer number *n*. You should create such strictly increasing sequence of *k* positive numbers *a*1,<=*a*2,<=...,<=*a**k*, that their sum is equal to *n* and greatest common divisor is maximal. Greatest common divisor of sequence is maximum of such numbers that every element of sequence is divi...
The first line consists of two numbers *n* and *k* (1<=≤<=*n*,<=*k*<=≤<=1010).
If the answer exists then output *k* numbers — resulting sequence. Otherwise output -1. If there are multiple answers, print any of them.
[ "6 3\n", "8 2\n", "5 3\n" ]
[ "1 2 3\n", "2 6\n", "-1\n" ]
none
[ { "input": "6 3", "output": "1 2 3" }, { "input": "8 2", "output": "2 6" }, { "input": "5 3", "output": "-1" }, { "input": "1 1", "output": "1" }, { "input": "1 2", "output": "-1" }, { "input": "2 1", "output": "2" }, { "input": "2 10000000...
218
9,523,200
3
2,136
877
Nikita and string
[ "brute force", "dp" ]
null
null
One day Nikita found the string containing letters "a" and "b" only. Nikita thinks that string is beautiful if it can be cut into 3 strings (possibly empty) without changing the order of the letters, where the 1-st and the 3-rd one contain only letters "a" and the 2-nd contains only letters "b". Nikita wants to make...
The first line contains a non-empty string of length not greater than 5<=000 containing only lowercase English letters "a" and "b".
Print a single integer — the maximum possible size of beautiful string Nikita can get.
[ "abba\n", "bab\n" ]
[ "4", "2" ]
It the first sample the string is already beautiful. In the second sample he needs to delete one of "b" to make it beautiful.
[ { "input": "abba", "output": "4" }, { "input": "bab", "output": "2" }, { "input": "bbabbbaabbbb", "output": "9" }, { "input": "bbabbbbbaaba", "output": "10" }, { "input": "bbabbbababaa", "output": "9" }, { "input": "aabbaababbab", "output": "8" }...
46
0
3
2,141
0
none
[ "none" ]
null
null
Farmer John has just given the cows a program to play with! The program contains two integer variables, *x* and *y*, and performs the following operations on a sequence *a*1,<=*a*2,<=...,<=*a**n* of positive integers: 1. Initially, *x*<==<=1 and *y*<==<=0. If, after any step, *x*<=≤<=0 or *x*<=&gt;<=*n*, the program ...
The first line contains a single integer, *n* (2<=≤<=*n*<=≤<=2·105). The next line contains *n*<=-<=1 space separated integers, *a*2,<=*a*3,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=109).
Output *n*<=-<=1 lines. On the *i*-th line, print the requested value when the program is run on the sequence *i*,<=*a*2,<=*a*3,<=...*a**n*. Please do not use the %lld specifier to read or write 64-bit integers in С++. It is preferred to use the cin, cout streams or the %I64d specifier.
[ "4\n2 4 1\n", "3\n1 2\n" ]
[ "3\n6\n8\n", "-1\n-1\n" ]
In the first sample 1. For *i* = 1,  *x* becomes <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/d87035805e6f1c669693d86603da6d89c5730833.png" style="max-width: 100.0%;max-height: 100.0%;"/> and *y* becomes 1 + 2 = 3. 1. For *i* = 2,  *x* becomes <img align="middle" class="tex-formula" ...
[]
1,216
26,214,400
0
2,147
93
Frames
[ "implementation" ]
A. Frames
2
256
Throughout Igor K.'s life he has had many situations worthy of attention. We remember the story with the virus, the story of his mathematical career and of course, his famous programming achievements. However, one does not always adopt new hobbies, one can quit something as well. This time Igor K. got disappointed in ...
The only line contains four integers *n*, *m*, *a*, *b* (1<=≤<=*n*,<=*m*<=≤<=109, 1<=≤<=*a*<=≤<=*b*<=≤<=*n*). They are the number of folders in Igor K.'s computer, the width of a window and the numbers of the first and the last folders that need to be deleted.
Print a single number: the least possible number of times Igor K. will have to select the folders using frames to select only the folders with numbers from *a* to *b*.
[ "11 4 3 9\n", "20 5 2 20\n" ]
[ "3\n", "2\n" ]
The images below illustrate statement tests. The first test: <img class="tex-graphics" src="https://espresso.codeforces.com/a0e4ba690dd16e3c68210a28afd82020b23fb605.png" style="max-width: 100.0%;max-height: 100.0%;"/> In this test we can select folders 3 and 4 with out first selection, folders 5, 6, 7, 8 with our se...
[ { "input": "11 4 3 9", "output": "3" }, { "input": "20 5 2 20", "output": "2" }, { "input": "1 1 1 1", "output": "1" }, { "input": "26 5 2 18", "output": "3" }, { "input": "21 5 1 15", "output": "1" }, { "input": "21 5 1 21", "output": "1" }, {...
92
0
0
2,152
382
Number Busters
[ "binary search", "math" ]
null
null
Arthur and Alexander are number busters. Today they've got a competition. Arthur took a group of four integers *a*,<=*b*,<=*w*,<=*x* (0<=≤<=*b*<=&lt;<=*w*,<=0<=&lt;<=*x*<=&lt;<=*w*) and Alexander took integer *с*. Arthur and Alexander use distinct approaches to number bustings. Alexander is just a regular guy. Each s...
The first line contains integers *a*,<=*b*,<=*w*,<=*x*,<=*c* (1<=≤<=*a*<=≤<=2·109,<=1<=≤<=*w*<=≤<=1000,<=0<=≤<=*b*<=&lt;<=*w*,<=0<=&lt;<=*x*<=&lt;<=*w*,<=1<=≤<=*c*<=≤<=2·109).
Print a single integer — the minimum time in seconds Alexander needs to get ahead of Arthur. You can prove that the described situation always occurs within the problem's limits.
[ "4 2 3 1 6\n", "4 2 3 1 7\n", "1 2 3 2 6\n", "1 1 2 1 1\n" ]
[ "2\n", "4\n", "13\n", "0\n" ]
none
[ { "input": "4 2 3 1 6", "output": "2" }, { "input": "4 2 3 1 7", "output": "4" }, { "input": "1 2 3 2 6", "output": "13" }, { "input": "1 1 2 1 1", "output": "0" }, { "input": "1 0 1000 999 2000000000", "output": "1999999999000" }, { "input": "10 1 6 4...
61
409,600
0
2,161
472
Design Tutorial: Inverse the Problem
[ "dfs and similar", "dsu", "shortest paths", "trees" ]
null
null
There is an easy way to obtain a new task from an old one called "Inverse the problem": we give an output of the original task, and ask to generate an input, such that solution to the original problem will produce the output we provided. The hard task of Topcoder Open 2014 Round 2C, InverseRMQ, is a good example. Now ...
The first line contains an integer *n* (1<=≤<=*n*<=≤<=2000) — the number of nodes in that graph. Then next *n* lines each contains *n* integers *d**i*,<=*j* (0<=≤<=*d**i*,<=*j*<=≤<=109) — the distance between node *i* and node *j*.
If there exists such a tree, output "YES", otherwise output "NO".
[ "3\n0 2 7\n2 0 9\n7 9 0\n", "3\n1 2 7\n2 0 9\n7 9 0\n", "3\n0 2 2\n7 0 9\n7 9 0\n", "3\n0 1 1\n1 0 1\n1 1 0\n", "2\n0 0\n0 0\n" ]
[ "YES\n", "NO\n", "NO\n", "NO\n", "NO\n" ]
In the first example, the required tree exists. It has one edge between nodes 1 and 2 with weight 2, another edge between nodes 1 and 3 with weight 7. In the second example, it is impossible because *d*<sub class="lower-index">1, 1</sub> should be 0, but it is 1. In the third example, it is impossible because *d*<sub...
[ { "input": "3\n0 2 7\n2 0 9\n7 9 0", "output": "YES" }, { "input": "3\n1 2 7\n2 0 9\n7 9 0", "output": "NO" }, { "input": "3\n0 2 2\n7 0 9\n7 9 0", "output": "NO" }, { "input": "3\n0 1 1\n1 0 1\n1 1 0", "output": "NO" }, { "input": "2\n0 0\n0 0", "output": "NO...
61
0
0
2,172
71
Progress Bar
[ "implementation", "math" ]
B. Progress Bar
1
256
A progress bar is an element of graphical interface that displays the progress of a process for this very moment before it is completed. Let's take a look at the following form of such a bar. A bar is represented as *n* squares, located in line. To add clarity, let's number them with positive integers from 1 to *n* fr...
We are given 3 space-separated integers *n*, *k*, *t* (1<=≤<=*n*,<=*k*<=≤<=100, 0<=≤<=*t*<=≤<=100).
Print *n* numbers. The *i*-th of them should be equal to *a**i*.
[ "10 10 54\n", "11 13 37\n" ]
[ "10 10 10 10 10 4 0 0 0 0 ", "13 13 13 13 0 0 0 0 0 0 0 " ]
none
[ { "input": "10 10 54", "output": "10 10 10 10 10 4 0 0 0 0 " }, { "input": "11 13 37", "output": "13 13 13 13 0 0 0 0 0 0 0 " }, { "input": "9 25 50", "output": "25 25 25 25 12 0 0 0 0 " }, { "input": "43 47 77", "output": "47 47 47 47 47 47 47 47 47 47 47 47 47 47 47 47 ...
31
0
-1
2,175
180
Letter
[ "dp" ]
null
null
Patrick has just finished writing a message to his sweetheart Stacey when he noticed that the message didn't look fancy. Patrick was nervous while writing the message, so some of the letters there were lowercase and some of them were uppercase. Patrick believes that a message is fancy if any uppercase letter stands to...
The only line of the input contains a non-empty string consisting of uppercase and lowercase letters. The string's length does not exceed 105.
Print a single number — the least number of actions needed to make the message fancy.
[ "PRuvetSTAaYA\n", "OYPROSTIYAOPECHATALSYAPRIVETSTASYA\n", "helloworld\n" ]
[ "5\n", "0\n", "0\n" ]
none
[ { "input": "PRuvetSTAaYA", "output": "5" }, { "input": "OYPROSTIYAOPECHATALSYAPRIVETSTASYA", "output": "0" }, { "input": "helloworld", "output": "0" }, { "input": "P", "output": "0" }, { "input": "t", "output": "0" }, { "input": "XdJ", "output": "1...
0
0
-1
2,179
916
Jamie and Alarm Snooze
[ "brute force", "implementation", "math" ]
null
null
Jamie loves sleeping. One day, he decides that he needs to wake up at exactly *hh*:<=*mm*. However, he hates waking up, so he wants to make waking up less painful by setting the alarm at a lucky time. He will then press the snooze button every *x* minutes until *hh*:<=*mm* is reached, and only then he will wake up. He ...
The first line contains a single integer *x* (1<=≤<=*x*<=≤<=60). The second line contains two two-digit integers, *hh* and *mm* (00<=≤<=*hh*<=≤<=23,<=00<=≤<=*mm*<=≤<=59).
Print the minimum number of times he needs to press the button.
[ "3\n11 23\n", "5\n01 07\n" ]
[ "2\n", "0\n" ]
In the first sample, Jamie needs to wake up at 11:23. So, he can set his alarm at 11:17. He would press the snooze button when the alarm rings at 11:17 and at 11:20. In the second sample, Jamie can set his alarm at exactly at 01:07 which is lucky.
[ { "input": "3\n11 23", "output": "2" }, { "input": "5\n01 07", "output": "0" }, { "input": "34\n09 24", "output": "3" }, { "input": "2\n14 37", "output": "0" }, { "input": "14\n19 54", "output": "9" }, { "input": "42\n15 44", "output": "12" }, ...
156
4,710,400
3
2,181
821
Okabe and Future Gadget Laboratory
[ "implementation" ]
null
null
Okabe needs to renovate the Future Gadget Laboratory after he tried doing some crazy experiments! The lab is represented as an *n* by *n* square grid of integers. A good lab is defined as a lab in which every number not equal to 1 can be expressed as the sum of a number in the same row and a number in the same column. ...
The first line of input contains the integer *n* (1<=≤<=*n*<=≤<=50) — the size of the lab. The next *n* lines contain *n* space-separated integers denoting a row of the grid. The *j*-th integer in the *i*-th row is *a**i*,<=*j* (1<=≤<=*a**i*,<=*j*<=≤<=105).
Print "Yes" if the given lab is good and "No" otherwise. You can output each letter in upper or lower case.
[ "3\n1 1 2\n2 3 1\n6 4 1\n", "3\n1 5 2\n1 1 1\n1 2 3\n" ]
[ "Yes\n", "No\n" ]
In the first sample test, the 6 in the bottom left corner is valid because it is the sum of the 2 above it and the 4 on the right. The same holds for every number not equal to 1 in this table, so the answer is "Yes". In the second sample test, the 5 cannot be formed as the sum of an integer in the same row and an inte...
[ { "input": "3\n1 1 2\n2 3 1\n6 4 1", "output": "Yes" }, { "input": "3\n1 5 2\n1 1 1\n1 2 3", "output": "No" }, { "input": "1\n1", "output": "Yes" }, { "input": "4\n1 1 1 1\n1 11 1 2\n2 5 1 4\n3 9 4 1", "output": "Yes" }, { "input": "4\n1 1 1 1\n1 7 1 1\n1 3 1 2\n2...
109
307,200
3
2,183
571
CNF 2
[ "constructive algorithms", "dfs and similar", "graphs", "greedy" ]
null
null
'In Boolean logic, a formula is in conjunctive normal form (CNF) or clausal normal form if it is a conjunction of clauses, where a clause is a disjunction of literals' (cited from https://en.wikipedia.org/wiki/Conjunctive_normal_form) In the other words, CNF is a formula of type , where &amp; represents a logical "AND...
The first line contains integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=2·105) — the number of clauses and the number variables, correspondingly. Next *n* lines contain the descriptions of each clause. The *i*-th line first contains first number *k**i* (*k**i*<=≥<=1) — the number of literals in the *i*-th clauses. Then foll...
If CNF is not satisfiable, print a single line "NO" (without the quotes), otherwise print two strings: string "YES" (without the quotes), and then a string of *m* numbers zero or one — the values of variables in satisfying assignment in the order from *x*1 to *x**m*.
[ "2 2\n2 1 -2\n2 2 -1\n", "4 3\n1 1\n1 2\n3 -1 -2 3\n1 -3\n", "5 6\n2 1 2\n3 1 -2 3\n4 -3 5 4 6\n2 -6 -4\n1 5\n" ]
[ "YES\n11\n", "NO\n", "YES\n100010\n" ]
In the first sample test formula is <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/5a8654a57efa13b47a585b7998c9defb42712ded.png" style="max-width: 100.0%;max-height: 100.0%;"/>. One of possible answer is *x*<sub class="lower-index">1</sub> = *TRUE*, *x*<sub class="lower-index">2</sub> = *T...
[]
1,000
38,092,800
0
2,187
342
Cupboard and Balloons
[ "geometry" ]
null
null
A girl named Xenia has a cupboard that looks like an arc from ahead. The arc is made of a semicircle with radius *r* (the cupboard's top) and two walls of height *h* (the cupboard's sides). The cupboard's depth is *r*, that is, it looks like a rectangle with base *r* and height *h*<=+<=*r* from the sides. The figure be...
The single line contains two integers *r*,<=*h* (1<=≤<=*r*,<=*h*<=≤<=107).
Print a single integer — the maximum number of balloons Xenia can put in the cupboard.
[ "1 1\n", "1 2\n", "2 1\n" ]
[ "3\n", "5\n", "2\n" ]
none
[ { "input": "1 1", "output": "3" }, { "input": "1 2", "output": "5" }, { "input": "2 1", "output": "2" }, { "input": "2 2", "output": "3" }, { "input": "2 3", "output": "4" }, { "input": "4 1", "output": "1" }, { "input": "5 1", "output"...
124
0
3
2,188
887
Div. 64
[ "implementation" ]
null
null
Top-model Izabella participates in the competition. She wants to impress judges and show her mathematical skills. Her problem is following: for given string, consisting of only 0 and 1, tell if it's possible to remove some digits in such a way, that remaining number is a representation of some positive integer, divisi...
In the only line given a non-empty binary string *s* with length up to 100.
Print «yes» (without quotes) if it's possible to remove digits required way and «no» otherwise.
[ "100010001\n", "100\n" ]
[ "yes", "no" ]
In the first test case, you can get string 1 000 000 after removing two ones which is a representation of number 64 in the binary numerical system. You can read more about binary numeral system representation here: [https://en.wikipedia.org/wiki/Binary_system](https://en.wikipedia.org/wiki/Binary_system)
[ { "input": "100010001", "output": "yes" }, { "input": "100", "output": "no" }, { "input": "0000001000000", "output": "yes" }, { "input": "1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111", "output": "no" }, { "in...
93
0
3
2,193
157
Game Outcome
[ "brute force" ]
null
null
Sherlock Holmes and Dr. Watson played some game on a checkered board *n*<=×<=*n* in size. During the game they put numbers on the board's squares by some tricky rules we don't know. However, the game is now over and each square of the board contains exactly one number. To understand who has won, they need to count the ...
The first line contains an integer *n* (1<=≤<=*n*<=≤<=30). Each of the following *n* lines contain *n* space-separated integers. The *j*-th number on the *i*-th line represents the number on the square that belongs to the *j*-th column and the *i*-th row on the board. All number on the board are integers from 1 to 100.
Print the single number — the number of the winning squares.
[ "1\n1\n", "2\n1 2\n3 4\n", "4\n5 7 8 4\n9 5 3 2\n1 6 6 4\n9 5 7 3\n" ]
[ "0\n", "2\n", "6\n" ]
In the first example two upper squares are winning. In the third example three left squares in the both middle rows are winning:
[ { "input": "1\n1", "output": "0" }, { "input": "2\n1 2\n3 4", "output": "2" }, { "input": "4\n5 7 8 4\n9 5 3 2\n1 6 6 4\n9 5 7 3", "output": "6" }, { "input": "2\n1 1\n1 1", "output": "0" }, { "input": "3\n1 2 3\n4 5 6\n7 8 9", "output": "4" }, { "inpu...
218
307,200
3
2,196
996
World Cup
[ "binary search", "math" ]
null
null
Allen wants to enter a fan zone that occupies a round square and has $n$ entrances. There already is a queue of $a_i$ people in front of the $i$-th entrance. Each entrance allows one person from its queue to enter the fan zone in one minute. Allen uses the following strategy to enter the fan zone: - Initially he s...
The first line contains a single integer $n$ ($2 \le n \le 10^5$) — the number of entrances. The second line contains $n$ integers $a_1, a_2, \ldots, a_n$ ($0 \le a_i \le 10^9$) — the number of people in queues. These numbers do not include Allen.
Print a single integer — the number of entrance that Allen will use.
[ "4\n2 3 2 0\n", "2\n10 10\n", "6\n5 2 6 5 7 4\n" ]
[ "3\n", "1\n", "6\n" ]
In the first example the number of people (not including Allen) changes as follows: $[\textbf{2}, 3, 2, 0] \to [1, \textbf{2}, 1, 0] \to [0, 1, \textbf{0}, 0]$. The number in bold is the queue Alles stands in. We see that he will enter the fan zone through the third entrance. In the second example the number of people...
[ { "input": "4\n2 3 2 0", "output": "3" }, { "input": "2\n10 10", "output": "1" }, { "input": "6\n5 2 6 5 7 4", "output": "6" }, { "input": "2\n483544186 940350702", "output": "1" }, { "input": "10\n3 3 3 5 6 9 3 1 7 3", "output": "7" }, { "input": "10\...
61
0
0
2,199
883
Quadcopter Competition
[ "greedy", "math" ]
null
null
Polycarp takes part in a quadcopter competition. According to the rules a flying robot should: - start the race from some point of a field, - go around the flag, - close cycle returning back to the starting point. Polycarp knows the coordinates of the starting point (*x*1,<=*y*1) and the coordinates of the point w...
The first line contains two integer numbers *x*1 and *y*1 (<=-<=100<=≤<=*x*1,<=*y*1<=≤<=100) — coordinates of the quadcopter starting (and finishing) point. The second line contains two integer numbers *x*2 and *y*2 (<=-<=100<=≤<=*x*2,<=*y*2<=≤<=100) — coordinates of the flag. It is guaranteed that the quadcopter sta...
Print the length of minimal path of the quadcopter to surround the flag and return back.
[ "1 5\n5 2\n", "0 1\n0 0\n" ]
[ "18\n", "8\n" ]
none
[ { "input": "1 5\n5 2", "output": "18" }, { "input": "0 1\n0 0", "output": "8" }, { "input": "-100 -100\n100 100", "output": "804" }, { "input": "-100 -100\n-100 100", "output": "406" }, { "input": "-100 -100\n100 -100", "output": "406" }, { "input": "1...
62
4,608,000
0
2,202
975
Aramic script
[ "implementation", "strings" ]
null
null
In Aramic language words can only represent objects. Words in Aramic have special properties: - A word is a root if it does not contain the same letter more than once. - A root and all its permutations represent the same object. - The root $x$ of a word $y$ is the word that contains all letters that appear in $y$...
The first line contains one integer $n$ ($1 \leq n \leq 10^3$) — the number of words in the script. The second line contains $n$ words $s_1, s_2, \ldots, s_n$ — the script itself. The length of each string does not exceed $10^3$. It is guaranteed that all characters of the strings are small latin letters.
Output one integer — the number of different objects mentioned in the given ancient Aramic script.
[ "5\na aa aaa ab abb\n", "3\namer arem mrea\n" ]
[ "2", "1" ]
In the first test, there are two objects mentioned. The roots that represent them are "a","ab". In the second test, there is only one object, its root is "amer", the other strings are just permutations of "amer".
[ { "input": "5\na aa aaa ab abb", "output": "2" }, { "input": "3\namer arem mrea", "output": "1" }, { "input": "10\nbda bbb cda dca dda dcb bcd dcb ada ddd", "output": "6" }, { "input": "2\nfhjlqs aceginpr", "output": "2" }, { "input": "2\nbcdfghimn efghijlmo", ...
1,000
10,035,200
0
2,205
569
Inventory
[ "greedy", "math" ]
null
null
Companies always have a lot of equipment, furniture and other things. All of them should be tracked. To do this, there is an inventory number assigned with each item. It is much easier to create a database by using those numbers and keep the track of everything. During an audit, you were surprised to find out that the...
The first line contains a single integer *n* — the number of items (1<=≤<=*n*<=≤<=105). The second line contains *n* numbers *a*1,<=*a*2,<=...,<=*a**n* (1<=≤<=*a**i*<=≤<=105) — the initial inventory numbers of the items.
Print *n* numbers — the final inventory numbers of the items in the order they occur in the input. If there are multiple possible answers, you may print any of them.
[ "3\n1 3 2\n", "4\n2 2 3 3\n", "1\n2\n" ]
[ "1 3 2 \n", "2 1 3 4 \n", "1 \n" ]
In the first test the numeration is already a permutation, so there is no need to change anything. In the second test there are two pairs of equal numbers, in each pair you need to replace one number. In the third test you need to replace 2 by 1, as the numbering should start from one.
[ { "input": "3\n1 3 2", "output": "1 3 2 " }, { "input": "4\n2 2 3 3", "output": "2 1 3 4 " }, { "input": "1\n2", "output": "1 " }, { "input": "3\n3 3 1", "output": "3 2 1 " }, { "input": "5\n1 1 1 1 1", "output": "1 2 3 4 5 " }, { "input": "5\n5 3 4 4 ...
280
18,739,200
3
2,209
915
Browser
[ "implementation" ]
null
null
Luba is surfing the Internet. She currently has *n* opened tabs in her browser, indexed from 1 to *n* from left to right. The mouse cursor is currently located at the *pos*-th tab. Luba needs to use the tabs with indices from *l* to *r* (inclusive) for her studies, and she wants to close all the tabs that don't belong ...
The only line of input contains four integer numbers *n*, *pos*, *l*, *r* (1<=≤<=*n*<=≤<=100, 1<=≤<=*pos*<=≤<=*n*, 1<=≤<=*l*<=≤<=*r*<=≤<=*n*) — the number of the tabs, the cursor position and the segment which Luba needs to leave opened.
Print one integer equal to the minimum number of seconds required to close all the tabs outside the segment [*l*,<=*r*].
[ "6 3 2 4\n", "6 3 1 3\n", "5 2 1 5\n" ]
[ "5\n", "1\n", "0\n" ]
In the first test Luba can do the following operations: shift the mouse cursor to the tab 2, close all the tabs to the left of it, shift the mouse cursor to the tab 3, then to the tab 4, and then close all the tabs to the right of it. In the second test she only needs to close all the tabs to the right of the current ...
[ { "input": "6 3 2 4", "output": "5" }, { "input": "6 3 1 3", "output": "1" }, { "input": "5 2 1 5", "output": "0" }, { "input": "100 1 1 99", "output": "99" }, { "input": "100 50 1 99", "output": "50" }, { "input": "100 99 1 99", "output": "1" },...
46
0
0
2,215
408
Garland
[ "implementation" ]
null
null
Once little Vasya read an article in a magazine on how to make beautiful handmade garland from colored paper. Vasya immediately went to the store and bought *n* colored sheets of paper, the area of each sheet is 1 square meter. The garland must consist of exactly *m* pieces of colored paper of arbitrary area, each pie...
The first line contains a non-empty sequence of *n* (1<=≤<=*n*<=≤<=1000) small English letters ("a"..."z"). Each letter means that Vasya has a sheet of paper of the corresponding color. The second line contains a non-empty sequence of *m* (1<=≤<=*m*<=≤<=1000) small English letters that correspond to the colors of the ...
Print an integer that is the maximum possible total area of the pieces of paper in the garland Vasya wants to get or -1, if it is impossible to make the garland from the sheets he's got. It is guaranteed that the answer is always an integer.
[ "aaabbac\naabbccac\n", "a\nz\n" ]
[ "6\n", "-1" ]
In the first test sample Vasya can make an garland of area 6: he can use both sheets of color *b*, three (but not four) sheets of color *a* and cut a single sheet of color *c* in three, for example, equal pieces. Vasya can use the resulting pieces to make a garland of area 6. In the second test sample Vasya cannot mak...
[ { "input": "aaabbac\naabbccac", "output": "6" }, { "input": "a\nz", "output": "-1" }, { "input": "r\nr", "output": "1" }, { "input": "stnsdn\nndnndsn", "output": "4" }, { "input": "yqfqfp\ntttwtqq", "output": "-1" }, { "input": "zzbbrrtrtzr\ntbbtrrrzr"...
30
0
-1
2,218
598
Nearest vectors
[ "geometry", "sortings" ]
null
null
You are given the set of vectors on the plane, each of them starting at the origin. Your task is to find a pair of vectors with the minimal non-oriented angle between them. Non-oriented angle is non-negative value, minimal between clockwise and counterclockwise direction angles. Non-oriented angle is always between 0 ...
First line of the input contains a single integer *n* (2<=≤<=*n*<=≤<=100<=000) — the number of vectors. The *i*-th of the following *n* lines contains two integers *x**i* and *y**i* (|*x*|,<=|*y*|<=≤<=10<=000,<=*x*2<=+<=*y*2<=&gt;<=0) — the coordinates of the *i*-th vector. Vectors are numbered from 1 to *n* in order ...
Print two integer numbers *a* and *b* (*a*<=≠<=*b*) — a pair of indices of vectors with the minimal non-oriented angle. You can print the numbers in any order. If there are many possible answers, print any.
[ "4\n-1 0\n0 -1\n1 0\n1 1\n", "6\n-1 0\n0 -1\n1 0\n1 1\n-4 -5\n-4 -6\n" ]
[ "3 4\n", "6 5" ]
none
[ { "input": "4\n-1 0\n0 -1\n1 0\n1 1", "output": "3 4" }, { "input": "6\n-1 0\n0 -1\n1 0\n1 1\n-4 -5\n-4 -6", "output": "5 6" }, { "input": "10\n8 6\n-7 -3\n9 8\n7 10\n-3 -8\n3 7\n6 -8\n-9 8\n9 2\n6 7", "output": "1 3" }, { "input": "20\n-9 8\n-7 3\n0 10\n3 7\n6 -9\n6 8\n7 -6\...
483
0
-1
2,219
250
Movie Critics
[ "greedy" ]
null
null
A film festival is coming up in the city N. The festival will last for exactly *n* days and each day will have a premiere of exactly one film. Each film has a genre — an integer from 1 to *k*. On the *i*-th day the festival will show a movie of genre *a**i*. We know that a movie of each of *k* genres occurs in the fes...
The first line of the input contains two integers *n* and *k* (2<=≤<=*k*<=≤<=*n*<=≤<=105), where *n* is the number of movies and *k* is the number of genres. The second line of the input contains a sequence of *n* positive integers *a*1, *a*2, ..., *a**n* (1<=≤<=*a**i*<=≤<=*k*), where *a**i* is the genre of the *i*-th...
Print a single number — the number of the genre (from 1 to *k*) of the excluded films. If there are multiple answers, print the genre with the minimum number.
[ "10 3\n1 1 2 3 2 3 3 1 1 3\n", "7 3\n3 1 3 2 3 1 2\n" ]
[ "3", "1" ]
In the first sample if we exclude the movies of the 1st genre, the genres 2, 3, 2, 3, 3, 3 remain, that is 3 stresses; if we exclude the movies of the 2nd genre, the genres 1, 1, 3, 3, 3, 1, 1, 3 remain, that is 3 stresses; if we exclude the movies of the 3rd genre the genres 1, 1, 2, 2, 1, 1 remain, that is 2 stresses...
[ { "input": "10 3\n1 1 2 3 2 3 3 1 1 3", "output": "3" }, { "input": "7 3\n3 1 3 2 3 1 2", "output": "1" }, { "input": "2 2\n1 2", "output": "1" }, { "input": "10 2\n1 2 2 1 1 2 1 1 2 2", "output": "1" }, { "input": "10 10\n5 7 8 2 4 10 1 3 9 6", "output": "1" ...
248
14,233,600
3
2,230
0
none
[ "none" ]
null
null
First-rate specialists graduate from Berland State Institute of Peace and Friendship. You are one of the most talented students in this university. The education is not easy because you need to have fundamental knowledge in different areas, which sometimes are not related to each other. For example, you should know l...
The only line contains a string *s* (5<=≤<=|*s*|<=≤<=104) consisting of lowercase English letters.
On the first line print integer *k* — a number of distinct possible suffixes. On the next *k* lines print suffixes. Print suffixes in lexicographical (alphabetical) order.
[ "abacabaca\n", "abaca\n" ]
[ "3\naca\nba\nca\n", "0\n" ]
The first test was analysed in the problem statement. In the second example the length of the string equals 5. The length of the root equals 5, so no string can be used as a suffix.
[ { "input": "abacabaca", "output": "3\naca\nba\nca" }, { "input": "abaca", "output": "0" }, { "input": "gzqgchv", "output": "1\nhv" }, { "input": "iosdwvzerqfi", "output": "9\ner\nerq\nfi\nqfi\nrq\nvz\nvze\nze\nzer" }, { "input": "oawtxikrpvfuzugjweki", "output...
93
8,806,400
0
2,233
977
Two-gram
[ "implementation", "strings" ]
null
null
Two-gram is an ordered pair (i.e. string of length two) of capital Latin letters. For example, "AZ", "AA", "ZA" — three distinct two-grams. You are given a string $s$ consisting of $n$ capital Latin letters. Your task is to find any two-gram contained in the given string as a substring (i.e. two consecutive characters...
The first line of the input contains integer number $n$ ($2 \le n \le 100$) — the length of string $s$. The second line of the input contains the string $s$ consisting of $n$ capital Latin letters.
Print the only line containing exactly two capital Latin letters — any two-gram contained in the given string $s$ as a substring (i.e. two consecutive characters of the string) maximal number of times.
[ "7\nABACABA\n", "5\nZZZAA\n" ]
[ "AB\n", "ZZ\n" ]
In the first example "BA" is also valid answer. In the second example the only two-gram "ZZ" can be printed because it contained in the string "ZZZAA" two times.
[ { "input": "7\nABACABA", "output": "AB" }, { "input": "5\nZZZAA", "output": "ZZ" }, { "input": "26\nQWERTYUIOPASDFGHJKLZXCVBNM", "output": "AS" }, { "input": "2\nQA", "output": "QA" }, { "input": "2\nWW", "output": "WW" }, { "input": "11\nGGRRAATTZZZ",...
62
0
0
2,235
630
Benches
[ "combinatorics", "math" ]
null
null
The city park of IT City contains *n* east to west paths and *n* north to south paths. Each east to west path crosses each north to south path, so there are *n*2 intersections. The city funded purchase of five benches. To make it seems that there are many benches it was decided to place them on as many paths as possib...
The only line of the input contains one integer *n* (5<=≤<=*n*<=≤<=100) — the number of east to west paths and north to south paths.
Output one integer — the number of ways to place the benches.
[ "5\n" ]
[ "120" ]
none
[ { "input": "5", "output": "120" }, { "input": "6", "output": "4320" }, { "input": "7", "output": "52920" }, { "input": "15", "output": "1082161080" }, { "input": "17", "output": "4594961280" }, { "input": "72", "output": "23491596420472320" }, ...
171
13,312,000
0
2,238
629
Far Relative’s Birthday Cake
[ "brute force", "combinatorics", "constructive algorithms", "implementation" ]
null
null
Door's family is going celebrate Famil Doors's birthday party. They love Famil Door so they are planning to make his birthday cake weird! The cake is a *n*<=×<=*n* square consisting of equal squares with side length 1. Each square is either empty or consists of a single chocolate. They bought the cake and randomly sta...
In the first line of the input, you are given a single integer *n* (1<=≤<=*n*<=≤<=100) — the length of the side of the cake. Then follow *n* lines, each containing *n* characters. Empty cells are denoted with '.', while cells that contain chocolates are denoted by 'C'.
Print the value of Famil Door's happiness, i.e. the number of pairs of chocolate pieces that share the same row or the same column.
[ "3\n.CC\nC..\nC.C\n", "4\nCC..\nC..C\n.CC.\n.CC.\n" ]
[ "4\n", "9\n" ]
If we number rows from top to bottom and columns from left to right, then, pieces that share the same row in the first sample are: 1. (1, 2) and (1, 3) 1. (3, 1) and (3, 3) 1. (2, 1) and (3, 1) 1. (1, 3) and (3, 3)
[ { "input": "3\n.CC\nC..\nC.C", "output": "4" }, { "input": "4\nCC..\nC..C\n.CC.\n.CC.", "output": "9" }, { "input": "5\n.CCCC\nCCCCC\n.CCC.\nCC...\n.CC.C", "output": "46" }, { "input": "7\n.CC..CC\nCC.C..C\nC.C..C.\nC...C.C\nCCC.CCC\n.CC...C\n.C.CCC.", "output": "84" },...
62
0
3
2,244
757
Bash's Big Day
[ "greedy", "math", "number theory" ]
null
null
Bash has set out on a journey to become the greatest Pokemon master. To get his first Pokemon, he went to Professor Zulu's Lab. Since Bash is Professor Zulu's favourite student, Zulu allows him to take as many Pokemon from his lab as he pleases. But Zulu warns him that a group of *k*<=&gt;<=1 Pokemon with strengths {*...
The input consists of two lines. The first line contains an integer *n* (1<=≤<=*n*<=≤<=105), the number of Pokemon in the lab. The next line contains *n* space separated integers, where the *i*-th of them denotes *s**i* (1<=≤<=*s**i*<=≤<=105), the strength of the *i*-th Pokemon.
Print single integer — the maximum number of Pokemons Bash can take.
[ "3\n2 3 4\n", "5\n2 3 4 6 7\n" ]
[ "2\n", "3\n" ]
*gcd* (greatest common divisor) of positive integers set {*a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ..., *a*<sub class="lower-index">*n*</sub>} is the maximum positive integer that divides all the integers {*a*<sub class="lower-index">1</sub>, *a*<sub class="lower-index">2</sub>, ..., *a...
[ { "input": "3\n2 3 4", "output": "2" }, { "input": "5\n2 3 4 6 7", "output": "3" }, { "input": "3\n5 6 4", "output": "2" }, { "input": "8\n41 74 4 27 85 39 100 36", "output": "4" }, { "input": "6\n89 20 86 81 62 23", "output": "3" }, { "input": "71\n23...
30
0
0
2,247
925
Aztec Catacombs
[ "constructive algorithms" ]
null
null
Indiana Jones found ancient Aztec catacombs containing a golden idol. The catacombs consists of $n$ caves. Each pair of caves is connected with a two-way corridor that can be opened or closed. The entrance to the catacombs is in the cave $1$, the idol and the exit are in the cave $n$. When Indiana goes from a cave $x$...
The first line contains two integers $n$ and $m$ ($2 \leq n \leq 3\cdot 10^5$, $0 \leq m \leq 3 \cdot 10^5$) — the number of caves and the number of open corridors at the initial moment. The next $m$ lines describe the open corridors. The $i$-th of these lines contains two integers $u_i$ and $v_i$ ($1 \leq u_i, v_i \l...
If there is a path to exit, in the first line print a single integer $k$ — the minimum number of corridors Indians should pass through ($1 \leq k \leq 10^6$). In the second line print $k+1$ integers $x_0, \ldots, x_k$ — the number of caves in the order Indiana should visit them. The sequence $x_0, \ldots, x_k$ should s...
[ "4 4\n1 2\n2 3\n1 3\n3 4\n", "4 2\n1 2\n2 3\n" ]
[ "2\n1 3 4 \n", "4\n1 2 3 1 4 \n" ]
none
[]
30
0
0
2,256
859
Lazy Security Guard
[ "brute force", "geometry", "math" ]
null
null
Your security guard friend recently got a new job at a new security company. The company requires him to patrol an area of the city encompassing exactly *N* city blocks, but they let him choose which blocks. That is, your friend must walk the perimeter of a region whose area is exactly *N* blocks. Your friend is quite ...
Input will consist of a single integer *N* (1<=≤<=*N*<=≤<=106), the number of city blocks that must be enclosed by the route.
Print the minimum perimeter that can be achieved.
[ "4\n", "11\n", "22\n" ]
[ "8\n", "14\n", "20\n" ]
Here are some possible shapes for the examples: <img class="tex-graphics" src="https://espresso.codeforces.com/e11bef2cf82b55dd583cfc97d12b5aee5e483a65.png" style="max-width: 100.0%;max-height: 100.0%;"/>
[ { "input": "4", "output": "8" }, { "input": "11", "output": "14" }, { "input": "22", "output": "20" }, { "input": "3", "output": "8" }, { "input": "1024", "output": "128" }, { "input": "101", "output": "42" }, { "input": "30", "output":...
15
0
0
2,257
194
Square
[ "math" ]
null
null
There is a square painted on a piece of paper, the square's side equals *n* meters. John Doe draws crosses on the square's perimeter. John paints the first cross in the lower left corner of the square. Then John moves along the square's perimeter in the clockwise direction (first upwards, then to the right, then downwa...
The first line contains integer *t* (1<=≤<=*t*<=≤<=104) — the number of test cases. The second line contains *t* space-separated integers *n**i* (1<=≤<=*n**i*<=≤<=109) — the sides of the square for each test sample.
For each test sample print on a single line the answer to it, that is, the number of crosses John will draw as he will move along the square of the corresponding size. Print the answers to the samples in the order in which the samples are given in the input. Please do not use the %lld specifier to read or write 64-bit...
[ "3\n4 8 100\n" ]
[ "17\n33\n401\n" ]
none
[ { "input": "3\n4 8 100", "output": "17\n33\n401" }, { "input": "8\n1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 1000000000 13", "output": "4000000001\n4000000001\n4000000001\n4000000001\n4000000001\n4000000001\n4000000001\n27" }, { "input": "3\n13 17 21", "output...
92
0
0
2,260
219
Choosing Capital for Treeland
[ "dfs and similar", "dp", "graphs", "trees" ]
null
null
The country Treeland consists of *n* cities, some pairs of them are connected with unidirectional roads. Overall there are *n*<=-<=1 roads in the country. We know that if we don't take the direction of the roads into consideration, we can get from any city to any other one. The council of the elders has recently decid...
The first input line contains integer *n* (2<=≤<=*n*<=≤<=2·105) — the number of cities in Treeland. Next *n*<=-<=1 lines contain the descriptions of the roads, one road per line. A road is described by a pair of integers *s**i*,<=*t**i* (1<=≤<=*s**i*,<=*t**i*<=≤<=*n*; *s**i*<=≠<=*t**i*) — the numbers of cities, connect...
In the first line print the minimum number of roads to be inversed if the capital is chosen optimally. In the second line print all possible ways to choose the capital — a sequence of indexes of cities in the increasing order.
[ "3\n2 1\n2 3\n", "4\n1 4\n2 4\n3 4\n" ]
[ "0\n2 \n", "2\n1 2 3 \n" ]
none
[ { "input": "3\n2 1\n2 3", "output": "0\n2 " }, { "input": "4\n1 4\n2 4\n3 4", "output": "2\n1 2 3 " }, { "input": "2\n1 2", "output": "0\n1 " }, { "input": "8\n1 2\n3 2\n4 3\n4 5\n6 5\n6 7\n8 7", "output": "3\n4 6 8 " }, { "input": "10\n2 3\n1 8\n9 5\n5 4\n6 10\n4...
60
0
0
2,261
0
none
[ "none" ]
null
null
Три брата договорились о встрече. Пронумеруем братьев следующим образом: пусть старший брат имеет номер 1, средний брат имеет номер 2, а младший брат — номер 3. Когда пришло время встречи, один из братьев опоздал. По заданным номерам двух братьев, которые пришли вовремя, вам предстоит определить номер опоздавшего бра...
В первой строке входных данных следуют два различных целых числа *a* и *b* (1<=≤<=*a*,<=*b*<=≤<=3, *a*<=≠<=*b*) — номера братьев, которые пришли на встречу вовремя. Номера даны в произвольном порядке.
Выведите единственное целое число — номер брата, который опоздал на встречу.
[ "3 1\n" ]
[ "2\n" ]
none
[ { "input": "3 1", "output": "2" }, { "input": "2 1", "output": "3" }, { "input": "2 3", "output": "1" }, { "input": "1 2", "output": "3" }, { "input": "1 3", "output": "2" }, { "input": "3 2", "output": "1" } ]
62
4,812,800
3
2,267
501
Contest
[ "implementation" ]
null
null
Misha and Vasya participated in a Codeforces contest. Unfortunately, each of them solved only one problem, though successfully submitted it at the first attempt. Misha solved the problem that costs *a* points and Vasya solved the problem that costs *b* points. Besides, Misha submitted the problem *c* minutes after the ...
The first line contains four integers *a*, *b*, *c*, *d* (250<=≤<=*a*,<=*b*<=≤<=3500, 0<=≤<=*c*,<=*d*<=≤<=180). It is guaranteed that numbers *a* and *b* are divisible by 250 (just like on any real Codeforces round).
Output on a single line: "Misha" (without the quotes), if Misha got more points than Vasya. "Vasya" (without the quotes), if Vasya got more points than Misha. "Tie" (without the quotes), if both of them got the same number of points.
[ "500 1000 20 30\n", "1000 1000 1 1\n", "1500 1000 176 177\n" ]
[ "Vasya\n", "Tie\n", "Misha\n" ]
none
[ { "input": "500 1000 20 30", "output": "Vasya" }, { "input": "1000 1000 1 1", "output": "Tie" }, { "input": "1500 1000 176 177", "output": "Misha" }, { "input": "1500 1000 74 177", "output": "Misha" }, { "input": "750 2500 175 178", "output": "Vasya" }, { ...
62
5,632,000
3
2,268
0
none
[ "none" ]
null
null
Arkady needs your help again! This time he decided to build his own high-speed Internet exchange point. It should consist of *n* nodes connected with minimum possible number of wires into one network (a wire directly connects two nodes). Exactly *k* of the nodes should be exit-nodes, that means that each of them should...
The first line contains two integers *n* and *k* (3<=≤<=*n*<=≤<=2·105, 2<=≤<=*k*<=≤<=*n*<=-<=1) — the total number of nodes and the number of exit-nodes. Note that it is always possible to build at least one network with *n* nodes and *k* exit-nodes within the given constraints.
In the first line print the minimum possible distance between the two most distant exit-nodes. In each of the next *n*<=-<=1 lines print two integers: the ids of the nodes connected by a wire. The description of each wire should be printed exactly once. You can print wires and wires' ends in arbitrary order. The nodes ...
[ "3 2\n", "5 3\n" ]
[ "2\n1 2\n2 3\n", "3\n1 2\n2 3\n3 4\n3 5\n" ]
In the first example the only network is shown on the left picture. In the second example one of optimal networks is shown on the right picture. Exit-nodes are highlighted.
[ { "input": "3 2", "output": "2\n1 2\n2 3" }, { "input": "5 3", "output": "3\n1 2\n2 3\n3 4\n3 5" }, { "input": "4 2", "output": "3\n1 2\n2 3\n3 4" }, { "input": "4 3", "output": "2\n1 2\n2 3\n2 4" }, { "input": "5 2", "output": "4\n1 2\n2 3\n3 4\n4 5" }, {...
1,013
33,280,000
-1
2,271
39
Inverse Function
[ "implementation" ]
G. Inverse Function
5
64
Petya wrote a programme on C++ that calculated a very interesting function *f*(*n*). Petya ran the program with a certain value of *n* and went to the kitchen to have some tea. The history has no records concerning how long the program had been working. By the time Petya returned, it had completed the calculations and ...
The first line has an integer *f*(*n*) from the interval [0..32767]. The next lines have the description of the function *f*. In the description can be found extra spaces and line breaks (see the examples) which, of course, can’t break key words int, if, return and numbers. The size of input data can’t exceed 100 bytes...
Output a single number — the answer to the problem. If there’s no answer, output "-1" (without quotes).
[ "17\nint f(int n)\n{\nif (n &lt; 100) return 17;\nif (n &gt; 99) return 27;\n}\n", "13\nint f(int n)\n{\nif (n == 0) return 0;\nreturn f(n - 1) + 1;\n}\n", "144\nint f(int n)\n{\nif (n == 0) return 0;\nif (n == 1) return n;\nreturn f(n - 1) + f(n - 2);\n}" ]
[ "99\n", "13", "24588\n" ]
none
[ { "input": "17\nint f(int n)\n{\nif (n < 100) return 17;\nif (n > 99) return 27;\n}", "output": "99" }, { "input": "13\nint f(int n)\n{\nif (n == 0) return 0;\nreturn f(n - 1) + 1;\n}", "output": "13" }, { "input": "144\nint f(int n)\n{\nif (n == 0) return 0;\nif (n == 1) return n;\nretu...
840
9,523,200
-1
2,276
496
Removing Columns
[ "brute force", "constructive algorithms", "implementation" ]
null
null
You are given an *n*<=×<=*m* rectangular table consisting of lower case English letters. In one operation you can completely remove one column from the table. The remaining parts are combined forming a new table. For example, after removing the second column from the table   we obtain the table:   A table is called...
The first line contains two integers  — *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=100). Next *n* lines contain *m* small English letters each — the characters of the table.
Print a single number — the minimum number of columns that you need to remove in order to make the table good.
[ "1 10\ncodeforces\n", "4 4\ncase\ncare\ntest\ncode\n", "5 4\ncode\nforc\nesco\ndefo\nrces\n" ]
[ "0\n", "2\n", "4\n" ]
In the first sample the table is already good. In the second sample you may remove the first and third column. In the third sample you have to remove all the columns (note that the table where all rows are empty is considered good by definition). Let strings *s* and *t* have equal length. Then, *s* is lexicographica...
[ { "input": "1 10\ncodeforces", "output": "0" }, { "input": "4 4\ncase\ncare\ntest\ncode", "output": "2" }, { "input": "5 4\ncode\nforc\nesco\ndefo\nrces", "output": "4" }, { "input": "2 2\nfb\nye", "output": "0" }, { "input": "5 5\nrzrzh\nrzrzh\nrzrzh\nrzrzh\nrzrz...
109
307,200
0
2,277
994
Fingerprints
[ "implementation" ]
null
null
You are locked in a room with a door that has a keypad with 10 keys corresponding to digits from 0 to 9. To escape from the room, you need to enter a correct code. You also have a sequence of digits. Some keys on the keypad have fingerprints. You believe the correct code is the longest not necessarily contiguous subse...
The first line contains two integers $n$ and $m$ ($1 \le n, m \le 10$) representing the number of digits in the sequence you have and the number of keys on the keypad that have fingerprints. The next line contains $n$ distinct space-separated integers $x_1, x_2, \ldots, x_n$ ($0 \le x_i \le 9$) representing the sequen...
In a single line print a space-separated sequence of integers representing the code. If the resulting sequence is empty, both printing nothing and printing a single line break is acceptable.
[ "7 3\n3 5 7 1 6 2 8\n1 2 7\n", "4 4\n3 4 1 0\n0 1 7 9\n" ]
[ "7 1 2\n", "1 0\n" ]
In the first example, the only digits with fingerprints are $1$, $2$ and $7$. All three of them appear in the sequence you know, $7$ first, then $1$ and then $2$. Therefore the output is 7 1 2. Note that the order is important, and shall be the same as the order in the original sequence. In the second example digits $...
[ { "input": "7 3\n3 5 7 1 6 2 8\n1 2 7", "output": "7 1 2" }, { "input": "4 4\n3 4 1 0\n0 1 7 9", "output": "1 0" }, { "input": "9 4\n9 8 7 6 5 4 3 2 1\n2 4 6 8", "output": "8 6 4 2" }, { "input": "10 5\n3 7 1 2 4 6 9 0 5 8\n4 3 0 7 9", "output": "3 7 4 9 0" }, { "...
92
0
3
2,279
117
Very Interesting Game
[ "brute force", "number theory" ]
null
null
In a very ancient country the following game was popular. Two people play the game. Initially first player writes a string *s*1, consisting of exactly nine digits and representing a number that does not exceed *a*. After that second player looks at *s*1 and writes a string *s*2, consisting of exactly nine digits and re...
The first line contains three integers *a*, *b*, *mod* (0<=≤<=*a*,<=*b*<=≤<=109, 1<=≤<=*mod*<=≤<=107).
If the first player wins, print "1" and the lexicographically minimum string *s*1 he has to write to win. If the second player wins, print the single number "2".
[ "1 10 7\n", "4 0 9\n" ]
[ "2\n", "1 000000001\n" ]
The lexical comparison of strings is performed by the &lt; operator in modern programming languages. String *x* is lexicographically less than string *y* if exists such *i* (1 ≤ *i* ≤ 9), that *x*<sub class="lower-index">*i*</sub> &lt; *y*<sub class="lower-index">*i*</sub>, and for any *j* (1 ≤ *j* &lt; *i*) *x*<sub cl...
[ { "input": "1 10 7", "output": "2" }, { "input": "4 0 9", "output": "1 000000001" }, { "input": "10 7 8", "output": "2" }, { "input": "6 4 10", "output": "2" }, { "input": "4 1 4", "output": "2" }, { "input": "4 7 9", "output": "1 000000001" }, ...
0
0
-1
2,282
887
Cubes for Masha
[ "brute force", "implementation" ]
null
null
Absent-minded Masha got set of *n* cubes for her birthday. At each of 6 faces of each cube, there is exactly one digit from 0 to 9. Masha became interested what is the largest natural *x* such she can make using her new cubes all integers from 1 to *x*. To make a number Masha can rotate her cubes and put them in a ro...
In first line integer *n* is given (1<=≤<=*n*<=≤<=3) — the number of cubes, Masha got for her birthday. Each of next *n* lines contains 6 integers *a**i**j* (0<=≤<=*a**i**j*<=≤<=9) — number on *j*-th face of *i*-th cube.
Print single integer — maximum number *x* such Masha can make any integers from 1 to *x* using her cubes or 0 if Masha can't make even 1.
[ "3\n0 1 2 3 4 5\n6 7 8 9 0 1\n2 3 4 5 6 7\n", "3\n0 1 3 5 6 8\n1 2 4 5 7 8\n2 3 4 6 7 9\n" ]
[ "87", "98" ]
In the first test case, Masha can build all numbers from 1 to 87, but she can't make 88 because there are no two cubes with digit 8.
[ { "input": "3\n0 1 2 3 4 5\n6 7 8 9 0 1\n2 3 4 5 6 7", "output": "87" }, { "input": "3\n0 1 3 5 6 8\n1 2 4 5 7 8\n2 3 4 6 7 9", "output": "98" }, { "input": "3\n0 1 2 3 4 5\n0 1 2 3 4 5\n0 1 2 3 4 5", "output": "5" }, { "input": "3\n1 2 3 7 8 9\n9 8 7 1 2 3\n7 9 2 3 1 8", ...
62
0
3
2,293
820
Mister B and Book Reading
[ "implementation" ]
null
null
Mister B once received a gift: it was a book about aliens, which he started read immediately. This book had *c* pages. At first day Mister B read *v*0 pages, but after that he started to speed up. Every day, starting from the second, he read *a* pages more than on the previous day (at first day he read *v*0 pages, at ...
First and only line contains five space-separated integers: *c*, *v*0, *v*1, *a* and *l* (1<=≤<=*c*<=≤<=1000, 0<=≤<=*l*<=&lt;<=*v*0<=≤<=*v*1<=≤<=1000, 0<=≤<=*a*<=≤<=1000) — the length of the book in pages, the initial reading speed, the maximum reading speed, the acceleration in reading speed and the number of pages fo...
Print one integer — the number of days Mister B needed to finish the book.
[ "5 5 10 5 4\n", "12 4 12 4 1\n", "15 1 100 0 0\n" ]
[ "1\n", "3\n", "15\n" ]
In the first sample test the book contains 5 pages, so Mister B read it right at the first day. In the second sample test at first day Mister B read pages number 1 - 4, at second day — 4 - 11, at third day — 11 - 12 and finished the book. In third sample test every day Mister B read 1 page of the book, so he finished...
[ { "input": "5 5 10 5 4", "output": "1" }, { "input": "12 4 12 4 1", "output": "3" }, { "input": "15 1 100 0 0", "output": "15" }, { "input": "1 1 1 0 0", "output": "1" }, { "input": "1000 999 1000 1000 998", "output": "2" }, { "input": "1000 2 2 5 1", ...
77
0
-1
2,295
25
Phone numbers
[ "implementation" ]
B. Phone numbers
2
256
Phone number in Berland is a sequence of *n* digits. Often, to make it easier to memorize the number, it is divided into groups of two or three digits. For example, the phone number 1198733 is easier to remember as 11-987-33. Your task is to find for a given phone number any of its divisions into groups of two or three...
The first line contains integer *n* (2<=≤<=*n*<=≤<=100) — amount of digits in the phone number. The second line contains *n* digits — the phone number to divide into groups.
Output any of divisions of the given phone number into groups of two or three digits. Separate groups by single character -. If the answer is not unique, output any.
[ "6\n549871\n", "7\n1198733\n" ]
[ "54-98-71", "11-987-33\n" ]
none
[ { "input": "6\n549871", "output": "54-98-71" }, { "input": "7\n1198733", "output": "119-87-33" }, { "input": "2\n74", "output": "74" }, { "input": "2\n33", "output": "33" }, { "input": "3\n074", "output": "074" }, { "input": "3\n081", "output": "08...
92
0
3.977
2,310
596
Wilbur and Array
[ "greedy", "implementation" ]
null
null
Wilbur the pig is tinkering with arrays again. He has the array *a*1,<=*a*2,<=...,<=*a**n* initially consisting of *n* zeros. At one step, he can choose any index *i* and either add 1 to all elements *a**i*,<=*a**i*<=+<=1,<=... ,<=*a**n* or subtract 1 from all elements *a**i*,<=*a**i*<=+<=1,<=...,<=*a**n*. His goal is ...
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=200<=000) — the length of the array *a**i*. Initially *a**i*<==<=0 for every position *i*, so this array is not given in the input. The second line of the input contains *n* integers *b*1,<=*b*2,<=...,<=*b**n* (<=-<=109<=≤<=*b**i*<=≤<=109).
Print the minimum number of steps that Wilbur needs to make in order to achieve *a**i*<==<=*b**i* for all *i*.
[ "5\n1 2 3 4 5\n", "4\n1 2 2 1\n" ]
[ "5", "3" ]
In the first sample, Wilbur may successively choose indices 1, 2, 3, 4, and 5, and add 1 to corresponding suffixes. In the second sample, Wilbur first chooses indices 1 and 2 and adds 1 to corresponding suffixes, then he chooses index 4 and subtract 1.
[ { "input": "5\n1 2 3 4 5", "output": "5" }, { "input": "4\n1 2 2 1", "output": "3" }, { "input": "3\n1 2 4", "output": "4" }, { "input": "6\n1 2 3 6 5 4", "output": "8" }, { "input": "10\n2 1 4 3 6 5 8 7 10 9", "output": "19" }, { "input": "7\n12 6 12 ...
217
22,016,000
3
2,317
984
Game
[ "sortings" ]
null
null
Two players play a game. Initially there are $n$ integers $a_1, a_2, \ldots, a_n$ written on the board. Each turn a player selects one number and erases it from the board. This continues until there is only one number left on the board, i. e. $n - 1$ turns are made. The first player makes the first move, then players ...
The first line contains one integer $n$ ($1 \le n \le 1000$) — the number of numbers on the board. The second line contains $n$ integers $a_1, a_2, \ldots, a_n$ ($1 \le a_i \le 10^6$).
Print one number that will be left on the board.
[ "3\n2 1 3\n", "3\n2 2 2\n" ]
[ "2", "2" ]
In the first sample, the first player erases $3$ and the second erases $1$. $2$ is left on the board. In the second sample, $2$ is left on the board regardless of the actions of the players.
[ { "input": "3\n2 1 3", "output": "2" }, { "input": "3\n2 2 2", "output": "2" }, { "input": "9\n44 53 51 80 5 27 74 79 94", "output": "53" }, { "input": "10\n38 82 23 37 96 4 81 60 67 86", "output": "60" }, { "input": "10\n58 26 77 15 53 81 68 48 22 65", "outpu...
109
0
3
2,321
717
R3D3’s Summer Adventure
[ "dp", "greedy" ]
null
null
R3D3 spent some time on an internship in MDCS. After earning enough money, he decided to go on a holiday somewhere far, far away. He enjoyed suntanning, drinking alcohol-free cocktails and going to concerts of popular local bands. While listening to "The White Buttons" and their hit song "Dacan the Baker", he met anoth...
The first line of input contains three integers *n* (2<=≤<=*n*<=≤<=108), *c*0 and *c*1 (0<=≤<=*c*0,<=*c*1<=≤<=108) — the number of letters in the alphabet, and costs of '0' and '1', respectively.
Output a single integer — minimum possible total a cost of the whole alphabet.
[ "4 1 2\n" ]
[ "12\n" ]
There are 4 letters in the alphabet. The optimal encoding is "00", "01", "10", "11". There are 4 zeroes and 4 ones used, so the total cost is 4·1 + 4·2 = 12.
[ { "input": "4 1 2", "output": "12" }, { "input": "2 1 5", "output": "6" }, { "input": "3 1 1", "output": "5" }, { "input": "5 5 5", "output": "60" }, { "input": "4 0 0", "output": "0" }, { "input": "6 0 6", "output": "30" }, { "input": "6 6...
46
0
0
2,322
825
Binary Protocol
[ "implementation" ]
null
null
Polycarp has just invented a new binary protocol for data transmission. He is encoding positive integer decimal number to binary string using following algorithm: - Each digit is represented with number of '1' characters equal to the value of that digit (for 0 it is zero ones). - Digits are written one by one in ord...
The first line contains one integer number *n* (1<=≤<=*n*<=≤<=89) — length of the string *s*. The second line contains string *s* — sequence of '0' and '1' characters, number in its encoded format. It is guaranteed that the number corresponding to the string is positive and doesn't exceed 109. The string always starts...
Print the decoded number.
[ "3\n111\n", "9\n110011101\n" ]
[ "3\n", "2031\n" ]
none
[ { "input": "3\n111", "output": "3" }, { "input": "9\n110011101", "output": "2031" }, { "input": "1\n1", "output": "1" }, { "input": "3\n100", "output": "100" }, { "input": "5\n10001", "output": "1001" }, { "input": "14\n11001100011000", "output": "...
78
23,142,400
-1
2,323
389
Fox and Cross
[ "greedy", "implementation" ]
null
null
Fox Ciel has a board with *n* rows and *n* columns. So, the board consists of *n*<=×<=*n* cells. Each cell contains either a symbol '.', or a symbol '#'. A cross on the board is a connected set of exactly five cells of the board that looks like a cross. The picture below shows how it looks. Ciel wants to draw several...
The first line contains an integer *n* (3<=≤<=*n*<=≤<=100) — the size of the board. Each of the next *n* lines describes one row of the board. The *i*-th line describes the *i*-th row of the board and consists of *n* characters. Each character is either a symbol '.', or a symbol '#'.
Output a single line with "YES" if Ciel can draw the crosses in the described way. Otherwise output a single line with "NO".
[ "5\n.#...\n####.\n.####\n...#.\n.....\n", "4\n####\n####\n####\n####\n", "6\n.#....\n####..\n.####.\n.#.##.\n######\n.#..#.\n", "6\n.#..#.\n######\n.####.\n.####.\n######\n.#..#.\n", "3\n...\n...\n...\n" ]
[ "YES\n", "NO\n", "YES\n", "NO\n", "YES\n" ]
In example 1, you can draw two crosses. The picture below shows what they look like. In example 2, the board contains 16 cells with '#', but each cross contains 5. Since 16 is not a multiple of 5, so it's impossible to cover all.
[ { "input": "4\n####\n####\n####\n####", "output": "NO" }, { "input": "6\n.#....\n####..\n.####.\n.#.##.\n######\n.#..#.", "output": "YES" }, { "input": "6\n.#..#.\n######\n.####.\n.####.\n######\n.#..#.", "output": "NO" }, { "input": "5\n.....\n.#...\n####.\n.####\n...#.", ...
77
2,252,800
3
2,325
290
Mysterious strings
[ "*special", "implementation" ]
null
null
The input contains a single integer *a* (1<=≤<=*a*<=≤<=40). Output a single string.
The input contains a single integer *a* (1<=≤<=*a*<=≤<=40).
Output a single string.
[ "2\n", "8\n", "29\n" ]
[ "Adams\n", "Van Buren\n", "Harding\n" ]
none
[ { "input": "2", "output": "Adams" }, { "input": "8", "output": "Van Buren" }, { "input": "29", "output": "Harding" }, { "input": "1", "output": "Washington" }, { "input": "3", "output": "Jefferson" }, { "input": "4", "output": "Madison" }, { ...
0
0
-1
2,330
631
Interview
[ "brute force", "implementation" ]
null
null
Blake is a CEO of a large company called "Blake Technologies". He loves his company very much and he thinks that his company should be the best. That is why every candidate needs to pass through the interview that consists of the following problem. We define function *f*(*x*,<=*l*,<=*r*) as a bitwise OR of integers *x...
The first line of the input contains a single integer *n* (1<=≤<=*n*<=≤<=1000) — the length of the arrays. The second line contains *n* integers *a**i* (0<=≤<=*a**i*<=≤<=109). The third line contains *n* integers *b**i* (0<=≤<=*b**i*<=≤<=109).
Print a single integer — the maximum value of sum *f*(*a*,<=*l*,<=*r*)<=+<=*f*(*b*,<=*l*,<=*r*) among all possible 1<=≤<=*l*<=≤<=*r*<=≤<=*n*.
[ "5\n1 2 4 3 2\n2 3 3 12 1\n", "10\n13 2 7 11 8 4 9 8 5 1\n5 7 18 9 2 3 0 11 8 6\n" ]
[ "22", "46" ]
Bitwise OR of two non-negative integers *a* and *b* is the number *c* = *a* *OR* *b*, such that each of its digits in binary notation is 1 if and only if at least one of *a* or *b* have 1 in the corresponding position in binary notation. In the first sample, one of the optimal answers is *l* = 2 and *r* = 4, because *...
[ { "input": "5\n1 2 4 3 2\n2 3 3 12 1", "output": "22" }, { "input": "10\n13 2 7 11 8 4 9 8 5 1\n5 7 18 9 2 3 0 11 8 6", "output": "46" }, { "input": "25\n12 30 38 109 81 124 80 33 38 48 29 78 96 48 96 27 80 77 102 65 80 113 31 118 35\n25 64 95 13 12 6 111 80 85 16 61 119 23 65 73 65 20 9...
124
6,963,200
3
2,349
6
President's Office
[ "implementation" ]
B. President's Office
2
64
President of Berland has a very vast office-room, where, apart from him, work his subordinates. Each subordinate, as well as President himself, has his own desk of a unique colour. Each desk is rectangular, and its sides are parallel to the office walls. One day President decided to establish an assembly, of which all ...
The first line contains two separated by a space integer numbers *n*, *m* (1<=≤<=*n*,<=*m*<=≤<=100) — the length and the width of the office-room, and *c* character — the President's desk colour. The following *n* lines contain *m* characters each — the office-room description. It is guaranteed that the colour of each ...
Print the only number — the amount of President's deputies.
[ "3 4 R\nG.B.\n.RR.\nTTT.\n", "3 3 Z\n...\n.H.\n..Z\n" ]
[ "2\n", "0\n" ]
none
[ { "input": "3 4 R\nG.B.\n.RR.\nTTT.", "output": "2" }, { "input": "3 3 Z\n...\n.H.\n..Z", "output": "0" }, { "input": "1 1 C\nC", "output": "0" }, { "input": "2 2 W\nKW\nKW", "output": "1" }, { "input": "1 10 H\n....DDHHHH", "output": "1" }, { "input":...
0
0
-1
2,355
459
Pashmak and Flowers
[ "combinatorics", "implementation", "sortings" ]
null
null
Pashmak decided to give Parmida a pair of flowers from the garden. There are *n* flowers in the garden and the *i*-th of them has a beauty number *b**i*. Parmida is a very strange girl so she doesn't want to have the two most beautiful flowers necessarily. She wants to have those pairs of flowers that their beauty diff...
The first line of the input contains *n* (2<=≤<=*n*<=≤<=2·105). In the next line there are *n* space-separated integers *b*1, *b*2, ..., *b**n* (1<=≤<=*b**i*<=≤<=109).
The only line of output should contain two integers. The maximum beauty difference and the number of ways this may happen, respectively.
[ "2\n1 2\n", "3\n1 4 5\n", "5\n3 1 2 3 1\n" ]
[ "1 1", "4 1", "2 4" ]
In the third sample the maximum beauty difference is 2 and there are 4 ways to do this: 1. choosing the first and the second flowers; 1. choosing the first and the fifth flowers; 1. choosing the fourth and the second flowers; 1. choosing the fourth and the fifth flowers.
[ { "input": "2\n1 2", "output": "1 1" }, { "input": "3\n1 4 5", "output": "4 1" }, { "input": "5\n3 1 2 3 1", "output": "2 4" }, { "input": "2\n1 1", "output": "0 1" }, { "input": "3\n1 1 1", "output": "0 3" }, { "input": "4\n1 1 1 1", "output": "0 ...
171
16,588,800
0
2,366
873
Chores
[ "implementation" ]
null
null
Luba has to do *n* chores today. *i*-th chore takes *a**i* units of time to complete. It is guaranteed that for every the condition *a**i*<=≥<=*a**i*<=-<=1 is met, so the sequence is sorted. Also Luba can work really hard on some chores. She can choose not more than *k* any chores and do each of them in *x* units of ...
The first line contains three integers *n*,<=*k*,<=*x* (1<=≤<=*k*<=≤<=*n*<=≤<=100,<=1<=≤<=*x*<=≤<=99) — the number of chores Luba has to do, the number of chores she can do in *x* units of time, and the number *x* itself. The second line contains *n* integer numbers *a**i* (2<=≤<=*a**i*<=≤<=100) — the time Luba has to...
Print one number — minimum time Luba needs to do all *n* chores.
[ "4 2 2\n3 6 7 10\n", "5 2 1\n100 100 100 100 100\n" ]
[ "13\n", "302\n" ]
In the first example the best option would be to do the third and the fourth chore, spending *x* = 2 time on each instead of *a*<sub class="lower-index">3</sub> and *a*<sub class="lower-index">4</sub>, respectively. Then the answer is 3 + 6 + 2 + 2 = 13. In the second example Luba can choose any two chores to spend *x...
[ { "input": "4 2 2\n3 6 7 10", "output": "13" }, { "input": "5 2 1\n100 100 100 100 100", "output": "302" }, { "input": "1 1 1\n100", "output": "1" }, { "input": "100 1 99\n100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 100 ...
93
0
3
2,376
551
ZgukistringZ
[ "brute force", "constructive algorithms", "implementation", "strings" ]
null
null
Professor GukiZ doesn't accept string as they are. He likes to swap some letters in string to obtain a new one. GukiZ has strings *a*, *b*, and *c*. He wants to obtain string *k* by swapping some letters in *a*, so that *k* should contain as many non-overlapping substrings equal either to *b* or *c* as possible. Subst...
The first line contains string *a*, the second line contains string *b*, and the third line contains string *c* (1<=≤<=|*a*|,<=|*b*|,<=|*c*|<=≤<=105, where |*s*| denotes the length of string *s*). All three strings consist only of lowercase English letters. It is possible that *b* and *c* coincide.
Find one of possible strings *k*, as described in the problem statement. If there are multiple possible answers, print any of them.
[ "aaa\na\nb\n", "pozdravstaklenidodiri\nniste\ndobri\n", "abbbaaccca\nab\naca\n" ]
[ "aaa", "nisteaadddiiklooprrvz", "ababacabcc" ]
In the third sample, this optimal solutions has three non-overlaping substrings equal to either *b* or *c* on positions 1 – 2 (*ab*), 3 – 4 (*ab*), 5 – 7 (*aca*). In this sample, there exist many other optimal solutions, one of them would be *acaababbcc*.
[ { "input": "aaa\na\nb", "output": "aaa" }, { "input": "pozdravstaklenidodiri\nniste\ndobri", "output": "nisteaadddiiklooprrvz" }, { "input": "abbbaaccca\nab\naca", "output": "ababacabcc" }, { "input": "lemigazalemiolemilicomzalemljenje\nlemi\nzlo", "output": "lemilemilemi...
1,247
268,390,400
0
2,377
177
Script Generation
[]
null
null
The Smart Beaver from ABBYY was offered a job of a screenwriter for the ongoing TV series. In particular, he needs to automate the hard decision: which main characters will get married by the end of the series. There are *n* single men and *n* single women among the main characters. An opinion poll showed that viewers...
The first input line contains integers *n*, *k* and *t* (1<=≤<=*k*<=≤<=*min*(100,<=*n*2), 1<=≤<=*t*<=≤<=2·105), separated by single spaces. Next *k* lines contain triples of integers (*h*,<=*w*,<=*r*) (1<=≤<=*h*,<=*w*<=≤<=*n*; 1<=≤<=*r*<=≤<=1000), separated by single spaces, which describe the possible marriages. It is...
Print a single number — the value of the *t*-th acceptable variant.
[ "2 4 3\n1 1 1\n1 2 2\n2 1 3\n2 2 7\n", "2 4 7\n1 1 1\n1 2 2\n2 1 3\n2 2 7\n" ]
[ "2\n", "8\n" ]
The figure shows 7 acceptable sets of marriages that exist in the first sample.
[ { "input": "2 4 3\n1 1 1\n1 2 2\n2 1 3\n2 2 7", "output": "2" }, { "input": "2 4 7\n1 1 1\n1 2 2\n2 1 3\n2 2 7", "output": "8" }, { "input": "2 2 1\n1 2 8\n2 2 1", "output": "0" }, { "input": "5 25 140\n3 5 40\n3 3 42\n4 5 62\n2 4 7\n4 2 57\n1 5 69\n3 2 37\n2 5 43\n2 3 14\n1 ...
124
0
3
2,379
455
Civilization
[ "dfs and similar", "dp", "dsu", "ternary search", "trees" ]
null
null
Andrew plays a game called "Civilization". Dima helps him. The game has *n* cities and *m* bidirectional roads. The cities are numbered from 1 to *n*. Between any pair of cities there either is a single (unique) path, or there is no path at all. A path is such a sequence of distinct cities *v*1,<=*v*2,<=...,<=*v**k*, ...
The first line contains three integers *n*, *m*, *q* (1<=≤<=*n*<=≤<=3·105; 0<=≤<=*m*<=&lt;<=*n*; 1<=≤<=*q*<=≤<=3·105) — the number of cities, the number of the roads we already have and the number of queries, correspondingly. Each of the following *m* lines contains two integers, *a**i* and *b**i* (*a**i*<=≠<=*b**i*; ...
For each event of the first type print the answer on a separate line.
[ "6 0 6\n2 1 2\n2 3 4\n2 5 6\n2 3 2\n2 5 3\n1 1\n" ]
[ "4\n" ]
none
[]
982
268,390,400
0
2,389
796
Find The Bone
[ "implementation" ]
null
null
Zane the wizard is going to perform a magic show shuffling the cups. There are *n* cups, numbered from 1 to *n*, placed along the *x*-axis on a table that has *m* holes on it. More precisely, cup *i* is on the table at the position *x*<==<=*i*. The problematic bone is initially at the position *x*<==<=1. Zane will co...
The first line contains three integers *n*, *m*, and *k* (2<=≤<=*n*<=≤<=106, 1<=≤<=*m*<=≤<=*n*, 1<=≤<=*k*<=≤<=3·105) — the number of cups, the number of holes on the table, and the number of swapping operations, respectively. The second line contains *m* distinct integers *h*1,<=*h*2,<=...,<=*h**m* (1<=≤<=*h**i*<=≤<=*...
Print one integer — the final position along the *x*-axis of the bone.
[ "7 3 4\n3 4 6\n1 2\n2 5\n5 7\n7 1\n", "5 1 2\n2\n1 2\n2 4\n" ]
[ "1", "2" ]
In the first sample, after the operations, the bone becomes at *x* = 2, *x* = 5, *x* = 7, and *x* = 1, respectively. In the second sample, after the first operation, the bone becomes at *x* = 2, and falls into the hole onto the ground.
[ { "input": "7 3 4\n3 4 6\n1 2\n2 5\n5 7\n7 1", "output": "1" }, { "input": "5 1 2\n2\n1 2\n2 4", "output": "2" }, { "input": "10000 1 9\n55\n44 1\n2929 9292\n9999 9998\n44 55\n49 94\n55 53\n100 199\n55 50\n53 11", "output": "55" }, { "input": "100000 3 7\n2 3 4\n1 5\n5 1\n1 5...
2,000
20,377,600
0
2,390
591
Rebranding
[ "implementation", "strings" ]
null
null
The name of one small but proud corporation consists of *n* lowercase English letters. The Corporation has decided to try rebranding — an active marketing strategy, that includes a set of measures to change either the brand (both for the company and the goods it produces) or its components: the name, the logo, the slog...
The first line of the input contains two integers *n* and *m* (1<=≤<=*n*,<=*m*<=≤<=200<=000) — the length of the initial name and the number of designers hired, respectively. The second line consists of *n* lowercase English letters and represents the original name of the corporation. Next *m* lines contain the descr...
Print the new name of the corporation.
[ "6 1\npolice\np m\n", "11 6\nabacabadaba\na b\nb c\na d\ne g\nf a\nb b\n" ]
[ "molice\n", "cdcbcdcfcdc\n" ]
In the second sample the name of the corporation consecutively changes as follows: <img align="middle" class="tex-formula" src="https://espresso.codeforces.com/c7648432f7138ca53234357d7e08d1d119166055.png" style="max-width: 100.0%;max-height: 100.0%;"/> <img align="middle" class="tex-formula" src="https://espresso.co...
[ { "input": "6 1\npolice\np m", "output": "molice" }, { "input": "11 6\nabacabadaba\na b\nb c\na d\ne g\nf a\nb b", "output": "cdcbcdcfcdc" }, { "input": "1 1\nf\nz h", "output": "f" }, { "input": "1 1\na\na b", "output": "b" }, { "input": "10 10\nlellelleel\ne l\n...
1,029
93,798,400
-1
2,394
820
Mister B and Angle in Polygon
[ "constructive algorithms", "geometry", "math" ]
null
null
On one quiet day all of sudden Mister B decided to draw angle *a* on his field. Aliens have already visited his field and left many different geometric figures on it. One of the figures is regular convex *n*-gon (regular convex polygon with *n* sides). That's why Mister B decided to use this polygon. Now Mister B must...
First and only line contains two space-separated integers *n* and *a* (3<=≤<=*n*<=≤<=105, 1<=≤<=*a*<=≤<=180) — the number of vertices in the polygon and the needed angle, in degrees.
Print three space-separated integers: the vertices *v*1, *v*2, *v*3, which form . If there are multiple optimal solutions, print any of them. The vertices are numbered from 1 to *n* in clockwise order.
[ "3 15\n", "4 67\n", "4 68\n" ]
[ "1 2 3\n", "2 1 3\n", "4 1 2\n" ]
In first sample test vertices of regular triangle can create only angle of 60 degrees, that's why every possible angle is correct. Vertices of square can create 45 or 90 degrees angles only. That's why in second sample test the angle of 45 degrees was chosen, since |45 - 67| &lt; |90 - 67|. Other correct answers are: ...
[ { "input": "3 15", "output": "2 1 3" }, { "input": "4 67", "output": "2 1 3" }, { "input": "4 68", "output": "2 1 4" }, { "input": "3 1", "output": "2 1 3" }, { "input": "3 180", "output": "2 1 3" }, { "input": "100000 1", "output": "2 1 558" }, ...
93
23,142,400
0
2,397
44
Phone Number
[ "dp" ]
H. Phone Number
2
256
Alas, finding one's true love is not easy. Masha has been unsuccessful in that yet. Her friend Dasha told Masha about a way to determine the phone number of one's Prince Charming through arithmancy. The phone number is divined like that. First one needs to write down one's own phone numbers. For example, let's suppos...
The first line contains nonempty sequence consisting of digits from 0 to 9 — Masha's phone number. The sequence length does not exceed 50.
Output the single number — the number of phone numbers Masha will dial.
[ "12345\n", "09\n" ]
[ "48\n", "15\n" ]
none
[ { "input": "12345", "output": "48" }, { "input": "09", "output": "15" }, { "input": "3", "output": "9" }, { "input": "55", "output": "14" }, { "input": "737", "output": "23" }, { "input": "21583", "output": "55" }, { "input": "33408349", ...
122
0
3.9695
2,398